| Label |
Class |
Class size |
Class degree |
Base field |
Field degree |
Field signature |
Conductor |
Conductor norm |
Discriminant norm |
Root analytic conductor |
Bad primes |
Rank |
Torsion |
CM |
CM |
Sato-Tate |
$\Q$-curve |
Base change |
Semistable |
Potentially good |
Nonmax $\ell$ |
mod-$\ell$ images |
$Ш_{\textrm{an}}$ |
Tamagawa |
Regulator |
Period |
Leading coeff |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
| 108300.2-a1 |
108300.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{28} \cdot 3^{4} \cdot 5^{6} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \cdot 7 \) |
$0.111731246$ |
$0.524197399$ |
2.840456646 |
\( -\frac{53540005609}{350208000} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -78\) , \( -972\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-78{x}-972$ |
| 108300.2-a2 |
108300.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{12} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
$0.055865623$ |
$0.262098699$ |
2.840456646 |
\( \frac{882774443450089}{2166000000} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -1998\) , \( -35148\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-1998{x}-35148$ |
| 108300.2-b1 |
108300.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.051322944$ |
$1.217763500$ |
3.464057765 |
\( -\frac{594823321}{2166000} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -17 a + 16\) , \( 86\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-17a+16\right){x}+86$ |
| 108300.2-b2 |
108300.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{3} \cdot 3 \) |
$0.102645889$ |
$0.608881750$ |
3.464057765 |
\( \frac{6947097508441}{10687500} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -397 a + 396\) , \( 3278\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-397a+396\right){x}+3278$ |
| 108300.2-c1 |
108300.2-c |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.491221225$ |
$3.618288293$ |
4.104683309 |
\( -\frac{1}{3420} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( -3\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-3$ |
| 108300.2-c2 |
108300.2-c |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.245610612$ |
$1.809144146$ |
4.104683309 |
\( \frac{2992209121}{54150} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -30\) , \( -75\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-30{x}-75$ |
| 108300.2-d1 |
108300.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 19^{8} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.969799210$ |
$0.483920279$ |
4.335258550 |
\( \frac{871257511151}{527800050} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 199\) , \( -151\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+199{x}-151$ |
| 108300.2-d2 |
108300.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.484899605$ |
$0.967840558$ |
4.335258550 |
\( \frac{14688124849}{8122500} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -51\) , \( -51\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-51{x}-51$ |
| 108300.2-d3 |
108300.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.969799210$ |
$1.935681116$ |
4.335258550 |
\( \frac{3301293169}{22800} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -31\) , \( 53\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-31{x}+53$ |
| 108300.2-d4 |
108300.2-d |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{16} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$0.242449802$ |
$0.483920279$ |
4.335258550 |
\( \frac{26487576322129}{44531250} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -621\) , \( -6207\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-621{x}-6207$ |
| 108300.2-e1 |
108300.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.155824771$ |
$0.822970934$ |
4.738494096 |
\( -\frac{105756712489}{12476160} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -98 a + 97\) , \( 470\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-98a+97\right){x}+470$ |
| 108300.2-e2 |
108300.2-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$0.311649543$ |
$0.411485467$ |
4.738494096 |
\( \frac{468898230633769}{5540400} \) |
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -1618 a + 1617\) , \( 26006\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-1618a+1617\right){x}+26006$ |
| 108300.2-f1 |
108300.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{2} \cdot 19^{8} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$0.670454603$ |
$0.204194478$ |
5.058627700 |
\( -\frac{758575480593601}{40535043840} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 1899 a\) , \( 32525\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+1899a{x}+32525$ |
| 108300.2-f2 |
108300.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{40} \cdot 5^{8} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$2.681818415$ |
$0.051048619$ |
5.058627700 |
\( \frac{3345930611358906241}{165622259047500} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 31159 a\) , \( 2011565\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+31159a{x}+2011565$ |
| 108300.2-f3 |
108300.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{20} \cdot 5^{4} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{6} \) |
$1.340909207$ |
$0.102097239$ |
5.058627700 |
\( \frac{3225005357698077121}{8526675600} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 30779 a\) , \( 2065677\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+30779a{x}+2065677$ |
| 108300.2-f4 |
108300.2-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{2} \) |
$2.681818415$ |
$0.051048619$ |
5.058627700 |
\( \frac{13209596798923694545921}{92340} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 492479 a\) , \( 132819117\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+492479a{x}+132819117$ |
| 108300.2-g1 |
108300.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.096550260$ |
$1.780544821$ |
6.352222595 |
\( \frac{214921799}{218880} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 12 a - 13\) , \( -14\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(12a-13\right){x}-14$ |
| 108300.2-g2 |
108300.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$0.096550260$ |
$0.890272410$ |
6.352222595 |
\( \frac{34043726521}{11696400} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -68 a + 67\) , \( -142\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-68a+67\right){x}-142$ |
| 108300.2-g3 |
108300.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{8} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$0.386201042$ |
$0.445136205$ |
6.352222595 |
\( \frac{9912050027641}{311647500} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -448 a + 447\) , \( 3506\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-448a+447\right){x}+3506$ |
| 108300.2-g4 |
108300.2-g |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 19^{8} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.386201042$ |
$0.445136205$ |
6.352222595 |
\( \frac{100162392144121}{23457780} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -968 a + 967\) , \( -11662\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-968a+967\right){x}-11662$ |
| 108300.2-h1 |
108300.2-h |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 19^{20} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.2 |
$25$ |
\( 2^{5} \) |
$1$ |
$0.010840013$ |
2.503393825 |
\( -\frac{3979640234041473454886161}{1471455901872240} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 3301465 a\) , \( -2309192023\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+3301465a{x}-2309192023$ |
| 108300.2-h2 |
108300.2-h |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{40} \cdot 3^{10} \cdot 5^{10} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{5} \cdot 5^{3} \) |
$1$ |
$0.054200066$ |
2.503393825 |
\( \frac{89962967236397039}{287450726400000} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -9335 a\) , \( -737383\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-9335a{x}-737383$ |
| 108300.2-h3 |
108300.2-h |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{20} \cdot 5^{20} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$4$ |
\( 2^{4} \cdot 5^{3} \) |
$1$ |
$0.027100033$ |
2.503393825 |
\( \frac{75224183150104868881}{11219310000000000} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 87945 a\) , \( -8655975\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+87945a{x}-8655975$ |
| 108300.2-h4 |
108300.2-h |
$4$ |
$10$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 19^{10} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.2 |
$100$ |
\( 2^{4} \) |
$1$ |
$0.005420006$ |
2.503393825 |
\( \frac{16300610738133468173382620881}{2228489100} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 52823445 a\) , \( -147775056075\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+52823445a{x}-147775056075$ |
| 108300.2-i1 |
108300.2-i |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{48} \cdot 3^{6} \cdot 5^{6} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{3} \) |
$1$ |
$0.064508429$ |
3.575420080 |
\( -\frac{1914980734749238129}{20440940544000} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -25871 a + 25871\) , \( 1614201\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-25871a+25871\right){x}+1614201$ |
| 108300.2-i2 |
108300.2-i |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{18} \cdot 19^{12} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{6} \cdot 3^{4} \) |
$1$ |
$0.021502809$ |
3.575420080 |
\( \frac{69096190760262356111}{70568821500000000} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 85489 a - 85489\) , \( 8420985\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(85489a-85489\right){x}+8420985$ |
| 108300.2-i3 |
108300.2-i |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{36} \cdot 19^{6} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$4$ |
\( 2^{5} \cdot 3^{4} \) |
$1$ |
$0.010751404$ |
3.575420080 |
\( \frac{10993009831928446009969}{3767761230468750000} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -463231 a + 463231\) , \( 77449961\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-463231a+463231\right){x}+77449961$ |
| 108300.2-i4 |
108300.2-i |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{24} \cdot 3^{12} \cdot 5^{12} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$4$ |
\( 2^{5} \cdot 3^{3} \) |
$1$ |
$0.032254214$ |
3.575420080 |
\( \frac{7903870428425797297009}{886464000000} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -414991 a + 414991\) , \( 102863225\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-414991a+414991\right){x}+102863225$ |
| 108300.2-j1 |
108300.2-j |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{6} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$1$ |
$0.639902565$ |
4.433375023 |
\( -\frac{1263214441}{110808000} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -23 a + 22\) , \( 506\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-23a+22\right){x}+506$ |
| 108300.2-j2 |
108300.2-j |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{36} \cdot 3^{4} \cdot 5^{2} \cdot 19^{6} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{4} \) |
$1$ |
$0.213300855$ |
4.433375023 |
\( \frac{918046641959}{80912056320} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 202 a - 203\) , \( -13624\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(202a-203\right){x}-13624$ |
| 108300.2-j3 |
108300.2-j |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{4} \cdot 19^{12} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{4} \) |
$1$ |
$0.106650427$ |
4.433375023 |
\( \frac{46237740924063961}{1806561830400} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -7478 a + 7477\) , \( -240952\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-7478a+7477\right){x}-240952$ |
| 108300.2-j4 |
108300.2-j |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{12} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{3} \) |
$1$ |
$0.319951282$ |
4.433375023 |
\( \frac{148212258825961}{1218375000} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -1103 a + 1102\) , \( 13898\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-1103a+1102\right){x}+13898$ |
| 108300.2-k1 |
108300.2-k |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{28} \cdot 5^{2} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 7 \) |
$1$ |
$0.288519335$ |
4.664148048 |
\( -\frac{341370886042369}{1817528220} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -1456 a + 1456\) , \( -21604\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-1456a+1456\right){x}-21604$ |
| 108300.2-k2 |
108300.2-k |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{4} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 7 \) |
$1$ |
$0.144259667$ |
4.664148048 |
\( \frac{1403607530712116449}{39475350} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -23326 a + 23326\) , \( -1373170\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-23326a+23326\right){x}-1373170$ |
| 108300.2-l1 |
108300.2-l |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.929505486$ |
4.456002048 |
\( -\frac{111284641}{123120} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -10\) , \( 20\bigr] \) |
${y}^2+{x}{y}={x}^{3}-10{x}+20$ |
| 108300.2-l2 |
108300.2-l |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 19^{8} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.482376371$ |
4.456002048 |
\( \frac{1177918188481}{488703750} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -220\) , \( 650\bigr] \) |
${y}^2+{x}{y}={x}^{3}-220{x}+650$ |
| 108300.2-l3 |
108300.2-l |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.964752743$ |
4.456002048 |
\( \frac{758800078561}{324900} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -190\) , \( 992\bigr] \) |
${y}^2+{x}{y}={x}^{3}-190{x}+992$ |
| 108300.2-l4 |
108300.2-l |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$16$ |
\( 2 \) |
$1$ |
$0.482376371$ |
4.456002048 |
\( \frac{3107086841064961}{570} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -3040\) , \( 64262\bigr] \) |
${y}^2+{x}{y}={x}^{3}-3040{x}+64262$ |
| 108300.2-m1 |
108300.2-m |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{56} \cdot 3^{10} \cdot 5^{2} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \cdot 7 \) |
$1$ |
$0.063258877$ |
5.113154157 |
\( \frac{5495662324535111}{117739817533440} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( -3677 a\) , \( -514654\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-3677a{x}-514654$ |
| 108300.2-m2 |
108300.2-m |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{8} \cdot 19^{16} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \cdot 7 \) |
$1$ |
$0.015814719$ |
5.113154157 |
\( \frac{1412712966892699019449}{330160465517040000} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 233763 a\) , \( 33569186\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+233763a{x}+33569186$ |
| 108300.2-m3 |
108300.2-m |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{28} \cdot 3^{20} \cdot 5^{4} \cdot 19^{8} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
$1$ |
$0.031629438$ |
5.113154157 |
\( \frac{52974743974734147769}{3152005008998400} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 78243 a\) , \( -7985758\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+78243a{x}-7985758$ |
| 108300.2-m4 |
108300.2-m |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
108300.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{40} \cdot 5^{2} \cdot 19^{4} \) |
$2.80774$ |
$(-2a+1), (-5a+3), (-5a+2), (2), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \cdot 7 \) |
$1$ |
$0.015814719$ |
5.113154157 |
\( \frac{207530301091125281552569}{805586668007040} \) |
\( \bigl[a\) , \( 0\) , \( 1\) , \( 1233443 a\) , \( -527363678\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+1233443a{x}-527363678$ |
*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.
