| Label |
Base field |
Conductor |
Isogeny class |
Weierstrass coefficients |
| 72.1-a1 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-a |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 38 a - 175\) , \( -227 a + 805\bigr] \) |
| 72.1-a2 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-a |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -2 a\) , \( -a\bigr] \) |
| 72.1-a3 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-a |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 218 a - 555\) , \( 3073 a - 8255\bigr] \) |
| 72.1-a4 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-a |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 8 a - 45\) , \( 55 a - 185\bigr] \) |
| 72.1-a5 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-a |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -2 a - 5\) , \( a - 5\bigr] \) |
| 72.1-a6 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-a |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -42 a - 175\) , \( -307 a - 1155\bigr] \) |
| 72.1-a7 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-a |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -12 a - 45\) , \( 35 a + 95\bigr] \) |
| 72.1-a8 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-a |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -222 a - 555\) , \( 2633 a + 7145\bigr] \) |
| 72.1-b1 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-b |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 40 a - 175\) , \( 306 a - 1155\bigr] \) |
| 72.1-b2 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-b |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 0\) , \( 0\bigr] \) |
| 72.1-b3 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-b |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 220 a - 555\) , \( -2634 a + 7145\bigr] \) |
| 72.1-b4 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-b |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 10 a - 45\) , \( -36 a + 95\bigr] \) |
| 72.1-b5 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-b |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -5\) , \( -2 a - 5\bigr] \) |
| 72.1-b6 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-b |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -40 a - 175\) , \( 226 a + 805\bigr] \) |
| 72.1-b7 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-b |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -10 a - 45\) , \( -56 a - 185\bigr] \) |
| 72.1-b8 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-b |
\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -220 a - 555\) , \( -3074 a - 8255\bigr] \) |
| 72.1-c1 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-c |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 190 a + 504\) , \( -16334 a - 43216\bigr] \) |
| 72.1-c2 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-c |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 1\) , \( 0\bigr] \) |
| 72.1-c3 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-c |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -50 a - 131\) , \( 146 a + 386\bigr] \) |
| 72.1-c4 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-c |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 293 a - 770\) , \( 4024 a - 10642\bigr] \) |
| 72.1-c5 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-c |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 773 a - 2040\) , \( -19496 a + 51586\bigr] \) |
| 72.1-c6 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-c |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -4610 a - 12196\) , \( -286494 a - 757992\bigr] \) |
| 72.1-d1 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-d |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 189 a + 503\) , \( 17022 a + 45035\bigr] \) |
| 72.1-d2 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-d |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 1\) , \( 0\bigr] \) |
| 72.1-d3 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-d |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -51 a - 132\) , \( -333 a - 882\bigr] \) |
| 72.1-d4 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-d |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 292 a - 771\) , \( -4503 a + 11915\bigr] \) |
| 72.1-d5 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-d |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 772 a - 2041\) , \( 18227 a - 48223\bigr] \) |
| 72.1-d6 |
\(\Q(\sqrt{7}) \)
|
72.1 |
72.1-d |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -4611 a - 12197\) , \( 269682 a + 713511\bigr] \) |
