| 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 |
| 588.2-a5 |
588.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
588.2 |
\( 2^{2} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{4} \) |
$0.76216$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.370183666$ |
0.791075908 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -84\) , \( 261\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-84{x}+261$ |
| 7938.1-a5 |
7938.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
7938.1 |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$1.68693$ |
$(a+1), (3), (7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{4} \) |
$1$ |
$0.456727888$ |
1.826911554 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}-756{x}-7808$ |
| 2268.2-a7 |
2268.2-a |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
2268.2 |
\( 2^{2} \cdot 3^{4} \cdot 7 \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$1.63154$ |
$(a), (-a+1), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.106462011$ |
$0.456727888$ |
1.528040995 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}-756{x}-7808$ |
| 7938.3-a7 |
7938.3-a |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
7938.3 |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$2.38568$ |
$(a), (-a-1), (a-1), (7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.456727888$ |
1.291821549 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}-756{x}-7808$ |
| 15876.3-f5 |
15876.3-f |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
15876.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$3.32675$ |
$(-a), (a-1), (2), (7)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1.746886003$ |
$0.456727888$ |
7.697961456 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}-756{x}-7808$ |
| 588.2-a5 |
588.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-15}) \) |
$2$ |
$[0, 1]$ |
588.2 |
\( 2^{2} \cdot 3 \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 7^{4} \) |
$1.70423$ |
$(2,a), (2,a+1), (3,a+1), (7)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.348773658$ |
$1.370183666$ |
1.974225768 |
\( \frac{65597103937}{63504} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 83 a + 249\) , \( 1035 a - 2415\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^3+\left(a-1\right){x}^2+\left(83a+249\right){x}+1035a-2415$ |
| 294.2-a5 |
294.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-6}) \) |
$2$ |
$[0, 1]$ |
294.2 |
\( 2 \cdot 3 \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 7^{4} \) |
$1.81272$ |
$(2,a), (3,a), (a+1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.370183666$ |
2.237500557 |
\( \frac{65597103937}{63504} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -333\) , \( 2427\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2-333{x}+2427$ |
| 588.2-a5 |
588.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-39}) \) |
$2$ |
$[0, 1]$ |
588.2 |
\( 2^{2} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$2.74799$ |
$(2,a), (2,a+1), (3,a+1), (7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$1.370183666$ |
1.755239846 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 588.1-b5 |
588.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-51}) \) |
$2$ |
$[0, 1]$ |
588.1 |
\( 2^{2} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$3.14245$ |
$(3,a+1), (2), (7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{6} \) |
$1$ |
$1.370183666$ |
6.139650877 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 42.1-a5 |
42.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-21}) \) |
$2$ |
$[0, 1]$ |
42.1 |
\( 2 \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$2.08493$ |
$(2,a+1), (3,a), (7,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$2.310811814$ |
$1.370183666$ |
2.763717886 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 588.5-a5 |
588.5-a |
$6$ |
$8$ |
\(\Q(\sqrt{-87}) \) |
$2$ |
$[0, 1]$ |
588.5 |
\( 2^{2} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$4.10433$ |
$(2,a), (2,a+1), (3,a+1), (7,a+2), (7,a+4)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$1.370183666$ |
2.350385733 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 588.5-a5 |
588.5-a |
$6$ |
$8$ |
\(\Q(\sqrt{-111}) \) |
$2$ |
$[0, 1]$ |
588.5 |
\( 2^{2} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$4.63601$ |
$(2,a), (2,a+1), (3,a+1), (7,a), (7,a+6)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$2.554187007$ |
$2.740367332$ |
2.657418628 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 294.1-a5 |
294.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-30}) \) |
$2$ |
$[0, 1]$ |
294.1 |
\( 2 \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$4.05337$ |
$(2,a), (3,a), (7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$1.370183666$ |
2.001281338 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 42.1-c5 |
42.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{-42}) \) |
$2$ |
$[0, 1]$ |
42.1 |
\( 2 \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$2.94853$ |
$(2,a), (3,a), (7,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$1$ |
$1.370183666$ |
1.691391437 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 84.2-a5 |
84.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-231}) \) |
$2$ |
$[0, 1]$ |
84.2 |
\( 2^{2} \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$4.11163$ |
$(2,a), (2,a+1), (3,a+1), (7,a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{6} \) |
$1$ |
$1.370183666$ |
2.884846929 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 84.2-a5 |
84.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-399}) \) |
$2$ |
$[0, 1]$ |
84.2 |
\( 2^{2} \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$5.40374$ |
$(2,a), (2,a+1), (3,a+1), (7,a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$4.172847199$ |
$1.370183666$ |
4.579781969 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 42.1-d5 |
42.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
42.1 |
\( 2 \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$4.66203$ |
$(2,a+1), (3,a), (7,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{5} \) |
$1$ |
$1.370183666$ |
4.278919487 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 84.1-c5 |
84.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{-483}) \) |
$2$ |
$[0, 1]$ |
84.1 |
\( 2^{2} \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$5.94541$ |
$(3,a+1), (7,a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{6} \) |
$2.714763773$ |
$1.370183666$ |
10.83221421 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 84.1-b5 |
84.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-651}) \) |
$2$ |
$[0, 1]$ |
84.1 |
\( 2^{2} \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$6.90238$ |
$(3,a+1), (7,a+3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$64$ |
\( 2^{4} \) |
$1$ |
$2.740367332$ |
6.873821677 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 42.1-b5 |
42.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-210}) \) |
$2$ |
$[0, 1]$ |
42.1 |
\( 2 \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$6.59311$ |
$(2,a), (3,a), (7,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$3.196544930$ |
$2.740367332$ |
4.835817856 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 84.2-a5 |
84.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-903}) \) |
$2$ |
$[0, 1]$ |
84.2 |
\( 2^{2} \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$8.12928$ |
$(2,a), (2,a+1), (3,a+1), (7,a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$3.359614451$ |
$2.740367332$ |
2.451005773 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 84.1-d5 |
84.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-987}) \) |
$2$ |
$[0, 1]$ |
84.1 |
\( 2^{2} \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{20} \cdot 7^{4} \) |
$8.49898$ |
$(3,a+1), (7,a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{6} \) |
$5.324954911$ |
$2.740367332$ |
14.86332993 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -756\) , \( -7808\bigr] \) |
${y}^2+{x}{y}={x}^3-{x}^2-756{x}-7808$ |
| 294.1-a5 |
294.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
294.1 |
\( 2 \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{4} \) |
$1.28179$ |
$(a+1), (a), (7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.486887276$ |
1.435805038 |
\( \frac{65597103937}{63504} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -83\) , \( -345\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-83{x}-345$ |
| 84.1-a5 |
84.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
84.1 |
\( 2^{2} \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{4} \) |
$1.23970$ |
$(-a+2), (a+3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$2.486887276$ |
2.170733179 |
\( \frac{65597103937}{63504} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -420 a - 754\) , \( -7864 a - 14087\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-420a-754\right){x}-7864a-14087$ |
| 294.1-c5 |
294.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
294.1 |
\( 2 \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{4} \) |
$1.81272$ |
$(-a+2), (a+3), (7)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$4.566078634$ |
$2.486887276$ |
2.317895572 |
\( \frac{65597103937}{63504} \) |
\( \bigl[a + 1\) , \( 1\) , \( a\) , \( -1680 a - 4117\) , \( -60871 a - 149105\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-1680a-4117\right){x}-60871a-149105$ |
| 588.1-j5 |
588.1-j |
$6$ |
$8$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
588.1 |
\( 2^{2} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{4} \) |
$2.52778$ |
$(-a-2), (-a+3), (-2a+7), (7)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$2.115234789$ |
$2.486887276$ |
1.831418963 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( -30920 a - 73348\) , \( -4979294 a - 11812286\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-30920a-73348\right){x}-4979294a-11812286$ |
| 42.1-e5 |
42.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{42}) \) |
$2$ |
$[2, 0]$ |
42.1 |
\( 2 \cdot 3 \cdot 7 \) |
\( 2^{20} \cdot 3^{8} \cdot 7^{4} \) |
$2.94853$ |
$(2,a), (3,a), (a+7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$16$ |
\( 2^{3} \) |
$1$ |
$2.486887276$ |
1.534940151 |
\( \frac{65597103937}{63504} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -17470 a - 113216\) , \( -3291896 a - 21333924\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-17470a-113216\right){x}-3291896a-21333924$ |
*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.
