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 |
28.2-a7 |
28.2-a |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
28.2 |
\( 2^{2} \cdot 7 \) |
\( 2^{12} \cdot 7^{6} \) |
$0.54385$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3Cs.1.1 |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$2.626251405$ |
0.330876576 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 4\) , \( -6\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+4{x}-6$ |
896.2-b7 |
896.2-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
896.2 |
\( 2^{7} \cdot 7 \) |
\( 2^{30} \cdot 7^{6} \) |
$1.29349$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.928520088$ |
2.105685636 |
\( \frac{9938375}{21952} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 22 a + 10\) , \( -98 a + 35\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(22a+10\right){x}-98a+35$ |
896.7-b7 |
896.7-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
896.7 |
\( 2^{7} \cdot 7 \) |
\( 2^{30} \cdot 7^{6} \) |
$1.29349$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.928520088$ |
2.105685636 |
\( \frac{9938375}{21952} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -24 a + 32\) , \( 97 a - 63\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-24a+32\right){x}+97a-63$ |
1568.2-b7 |
1568.2-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1568.2 |
\( 2^{5} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{12} \) |
$1.48773$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.496314864$ |
2.251072633 |
\( \frac{9938375}{21952} \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( 94 a - 62\) , \( 362 a - 885\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(94a-62\right){x}+362a-885$ |
1568.5-b7 |
1568.5-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1568.5 |
\( 2^{5} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{12} \) |
$1.48773$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.496314864$ |
2.251072633 |
\( \frac{9938375}{21952} \) |
\( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -96 a + 32\) , \( -363 a - 523\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-96a+32\right){x}-363a-523$ |
1792.5-b7 |
1792.5-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1792.5 |
\( 2^{8} \cdot 7 \) |
\( 2^{36} \cdot 7^{6} \) |
$1.53823$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \) |
$1.169069055$ |
$0.656562851$ |
2.320905398 |
\( \frac{9938375}{21952} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 72\) , \( 368\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+72{x}+368$ |
2268.2-b7 |
2268.2-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
2268.2 |
\( 2^{2} \cdot 3^{4} \cdot 7 \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{6} \) |
$1.63154$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3Cs.1.1 |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$1$ |
$0.875417135$ |
3.970518914 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 40\) , \( 155\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+40{x}+155$ |
6272.2-b7 |
6272.2-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
6272.2 |
\( 2^{7} \cdot 7^{2} \) |
\( 2^{30} \cdot 7^{12} \) |
$2.10397$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \) |
$2.451474306$ |
$0.350947606$ |
2.601420732 |
\( \frac{9938375}{21952} \) |
\( \bigl[a\) , \( a - 1\) , \( a\) , \( -158 a - 62\) , \( 201 a - 2495\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-158a-62\right){x}+201a-2495$ |
6272.7-b7 |
6272.7-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
6272.7 |
\( 2^{7} \cdot 7^{2} \) |
\( 2^{30} \cdot 7^{12} \) |
$2.10397$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \) |
$2.451474306$ |
$0.350947606$ |
2.601420732 |
\( \frac{9938375}{21952} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 156 a - 221\) , \( -265 a - 2608\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(156a-221\right){x}-265a-2608$ |
7168.5-h7 |
7168.5-h |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
7168.5 |
\( 2^{10} \cdot 7 \) |
\( 2^{42} \cdot 7^{6} \) |
$2.17539$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.464260044$ |
2.105685636 |
\( \frac{9938375}{21952} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 72 a - 144\) , \( 368 a + 736\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(72a-144\right){x}+368a+736$ |
7168.7-h7 |
7168.7-h |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
7168.7 |
\( 2^{10} \cdot 7 \) |
\( 2^{42} \cdot 7^{6} \) |
$2.17539$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.464260044$ |
2.105685636 |
\( \frac{9938375}{21952} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -72 a - 72\) , \( -368 a + 1104\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-72a-72\right){x}-368a+1104$ |
17500.2-f7 |
17500.2-f |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
17500.2 |
\( 2^{2} \cdot 5^{4} \cdot 7 \) |
\( 2^{12} \cdot 5^{12} \cdot 7^{6} \) |
$2.71924$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$0.625416265$ |
$0.525250281$ |
8.939617596 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 112\) , \( -719\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+112{x}-719$ |
23548.4-c7 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{12} \cdot 7^{6} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.487682642$ |
2.211920557 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( 36 a - 140\) , \( -575 a - 190\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(36a-140\right){x}-575a-190$ |
23548.6-e7 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{12} \cdot 7^{6} \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.487682642$ |
2.211920557 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -36 a - 104\) , \( 575 a - 765\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-36a-104\right){x}+575a-765$ |
23716.4-g7 |
23716.4-g |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23716.4 |
\( 2^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 7^{12} \cdot 11^{6} \) |
$2.93392$ |
$(a), (-a+1), (-2a+1), (-2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.299289124$ |
2.714895745 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 252 a - 32\) , \( -2737 a + 2777\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(252a-32\right){x}-2737a+2777$ |
23716.6-e7 |
23716.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23716.6 |
\( 2^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 7^{12} \cdot 11^{6} \) |
$2.93392$ |
$(a), (-a+1), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.299289124$ |
2.714895745 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -250 a + 219\) , \( 2988 a - 179\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-250a+219\right){x}+2988a-179$ |
27104.13-c7 |
27104.13-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
27104.13 |
\( 2^{5} \cdot 7 \cdot 11^{2} \) |
\( 2^{24} \cdot 7^{6} \cdot 11^{6} \) |
$3.03351$ |
$(a), (-a+1), (-2a+1), (-2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{6} \) |
$1.388759237$ |
$0.395922296$ |
3.325124285 |
\( \frac{9938375}{21952} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -58 a + 211\) , \( 777 a - 1953\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-58a+211\right){x}+777a-1953$ |
27104.15-j7 |
27104.15-j |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
27104.15 |
\( 2^{5} \cdot 7 \cdot 11^{2} \) |
\( 2^{24} \cdot 7^{6} \cdot 11^{6} \) |
$3.03351$ |
$(a), (-a+1), (-2a+1), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$0.355160595$ |
$0.395922296$ |
7.653290664 |
\( \frac{9938375}{21952} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -22 a - 185\) , \( -1443 a + 1039\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-22a-185\right){x}-1443a+1039$ |
27104.4-j7 |
27104.4-j |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
27104.4 |
\( 2^{5} \cdot 7 \cdot 11^{2} \) |
\( 2^{24} \cdot 7^{6} \cdot 11^{6} \) |
$3.03351$ |
$(a), (-a+1), (-2a+1), (-2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$0.355160595$ |
$0.395922296$ |
7.653290664 |
\( \frac{9938375}{21952} \) |
\( \bigl[a\) , \( a\) , \( a\) , \( 22 a - 206\) , \( 1236 a - 241\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(22a-206\right){x}+1236a-241$ |
27104.6-c7 |
27104.6-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
27104.6 |
\( 2^{5} \cdot 7 \cdot 11^{2} \) |
\( 2^{24} \cdot 7^{6} \cdot 11^{6} \) |
$3.03351$ |
$(a), (-a+1), (-2a+1), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{6} \) |
$1.388759237$ |
$0.395922296$ |
3.325124285 |
\( \frac{9938375}{21952} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 58 a + 153\) , \( -777 a - 1176\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(58a+153\right){x}-777a-1176$ |
28672.7-e7 |
28672.7-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
28672.7 |
\( 2^{12} \cdot 7 \) |
\( 2^{48} \cdot 7^{6} \) |
$3.07647$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \) |
$4.210170225$ |
$0.328281425$ |
4.179140127 |
\( \frac{9938375}{21952} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 287\) , \( 3231\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+287{x}+3231$ |
28672.7-o7 |
28672.7-o |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
28672.7 |
\( 2^{12} \cdot 7 \) |
\( 2^{48} \cdot 7^{6} \) |
$3.07647$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.328281425$ |
1.488944592 |
\( \frac{9938375}{21952} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 287\) , \( -3231\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+287{x}-3231$ |
38332.4-c7 |
38332.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
38332.4 |
\( 2^{2} \cdot 7 \cdot 37^{2} \) |
\( 2^{12} \cdot 7^{6} \cdot 37^{6} \) |
$3.30809$ |
$(a), (-a+1), (-2a+1), (-4a+5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.431753071$ |
1.958247865 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -108 a - 32\) , \( -23 a + 1305\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-108a-32\right){x}-23a+1305$ |
38332.6-c7 |
38332.6-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
38332.6 |
\( 2^{2} \cdot 7 \cdot 37^{2} \) |
\( 2^{12} \cdot 7^{6} \cdot 37^{6} \) |
$3.30809$ |
$(a), (-a+1), (-2a+1), (4a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.431753071$ |
1.958247865 |
\( \frac{9938375}{21952} \) |
\( \bigl[1\) , \( a\) , \( 1\) , \( 108 a - 140\) , \( 23 a + 1282\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(108a-140\right){x}+23a+1282$ |
*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.