Elliptic curves over \(\Q(\sqrt{-7}) \) of conductor 44800.5

Base field	Conductor norm	Rank*	Torsion order	CM discriminant
Base field degree	Base change curves	\(\Q\)-curves	Torsion structure	CM
Analytic order* of Ш	Cyclic isogeny degree	Isogeny class size	Semistable	j-invariant
Regulator*	Curves per isogeny class	Isogeny class degree	Potential good reduction

  *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.

Results (1-50 of 52 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
44800.5-a1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-a	\( \bigl[0\) , \( -1\) , \( 0\) , \( -805\) , \( 9065\bigr] \)
44800.5-a2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-a	\( \bigl[0\) , \( -1\) , \( 0\) , \( -5\) , \( 25\bigr] \)
44800.5-b1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-b	\( \bigl[0\) , \( -1\) , \( 0\) , \( -2101\) , \( 39485\bigr] \)
44800.5-b2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-b	\( \bigl[0\) , \( -1\) , \( 0\) , \( -21\) , \( -35\bigr] \)
44800.5-b3	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-b	\( \bigl[0\) , \( -1\) , \( 0\) , \( 139\) , \( 61\bigr] \)
44800.5-c1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-c	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -3 a + 2\) , \( -20 a + 24\bigr] \)
44800.5-c2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-c	\( \bigl[0\) , \( a\) , \( 0\) , \( 27 a - 17\) , \( -44 a - 44\bigr] \)
44800.5-d1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-d	\( \bigl[0\) , \( a\) , \( 0\) , \( 3 a - 1\) , \( 20 a + 4\bigr] \)
44800.5-d2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-d	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -27 a + 10\) , \( 44 a - 88\bigr] \)
44800.5-e1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-e	\( \bigl[0\) , \( a\) , \( 0\) , \( -13 a + 10\) , \( a - 14\bigr] \)
44800.5-f1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-f	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 13 a - 3\) , \( -a - 13\bigr] \)
44800.5-g1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-g	\( \bigl[0\) , \( -a\) , \( 0\) , \( -21 a + 7\) , \( -76 a - 312\bigr] \)
44800.5-g2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-g	\( \bigl[0\) , \( a\) , \( 0\) , \( -85 a + 39\) , \( 172 a - 292\bigr] \)
44800.5-g3	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-g	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -27 a + 162\) , \( -436 a - 36\bigr] \)
44800.5-g4	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-g	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -427 a + 2562\) , \( -31556 a - 196\bigr] \)
44800.5-h1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-h	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 21 a - 14\) , \( 76 a - 388\bigr] \)
44800.5-h2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-h	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 85 a - 46\) , \( -172 a - 120\bigr] \)
44800.5-h3	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-h	\( \bigl[0\) , \( -a\) , \( 0\) , \( 27 a + 135\) , \( 436 a - 472\bigr] \)
44800.5-h4	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-h	\( \bigl[0\) , \( -a\) , \( 0\) , \( 427 a + 2135\) , \( 31556 a - 31752\bigr] \)
44800.5-i1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-i	\( \bigl[0\) , \( a\) , \( 0\) , \( -361 a + 303\) , \( -1284 a + 4748\bigr] \)
44800.5-i2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-i	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 213 a + 114\) , \( -84 a - 2884\bigr] \)
44800.5-i3	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-i	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 13 a + 114\) , \( -364 a + 236\bigr] \)
44800.5-i4	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-i	\( \bigl[0\) , \( -a\) , \( 0\) , \( -5 a + 55\) , \( -252 a + 56\bigr] \)
44800.5-j1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-j	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 361 a - 58\) , \( 1284 a + 3464\bigr] \)
44800.5-j2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-j	\( \bigl[0\) , \( -a\) , \( 0\) , \( -13 a + 127\) , \( 364 a - 128\bigr] \)
44800.5-j3	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-j	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 5 a + 50\) , \( 252 a - 196\bigr] \)
44800.5-j4	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-j	\( \bigl[0\) , \( -a\) , \( 0\) , \( -213 a + 327\) , \( 84 a - 2968\bigr] \)
44800.5-k1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-k	\( \bigl[0\) , \( 0\) , \( 0\) , \( -412\) , \( -3316\bigr] \)
44800.5-l1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-l	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 57 a + 1914\) , \( 27314 a - 22200\bigr] \)
44800.5-l2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-l	\( \bigl[0\) , \( 1\) , \( 0\) , \( 536 a + 1120\) , \( 21632 a - 26860\bigr] \)
44800.5-l3	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-l	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -23 a - 166\) , \( -126 a + 616\bigr] \)
44800.5-l4	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-l	\( \bigl[0\) , \( 1\) , \( 0\) , \( -30264 a + 23520\) , \( 1086752 a - 3364460\bigr] \)
44800.5-l5	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-l	\( \bigl[0\) , \( 1\) , \( 0\) , \( 456 a - 320\) , \( 3872 a + 1108\bigr] \)
44800.5-l6	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-l	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 10057 a + 157914\) , \( 19030114 a - 12691800\bigr] \)
44800.5-m1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-m	\( \bigl[0\) , \( 1\) , \( 0\) , \( -456 a + 136\) , \( -3872 a + 4980\bigr] \)
44800.5-m2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-m	\( \bigl[0\) , \( 1\) , \( 0\) , \( -536 a + 1656\) , \( -21632 a - 5228\bigr] \)
44800.5-m3	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-m	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -55 a + 1970\) , \( -27370 a + 7084\bigr] \)
44800.5-m4	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-m	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 25 a - 190\) , \( 150 a + 300\bigr] \)
44800.5-m5	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-m	\( \bigl[0\) , \( 1\) , \( 0\) , \( 30264 a - 6744\) , \( -1086752 a - 2277708\bigr] \)
44800.5-m6	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-m	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -10055 a + 167970\) , \( -19040170 a + 6506284\bigr] \)
44800.5-n1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-n	\( \bigl[0\) , \( 0\) , \( 0\) , \( -96 a - 11\) , \( 480 a - 326\bigr] \)
44800.5-n2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-n	\( \bigl[0\) , \( 0\) , \( 0\) , \( 96 a - 107\) , \( -480 a + 154\bigr] \)
44800.5-n3	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-n	\( \bigl[0\) , \( 0\) , \( 0\) , \( 37\) , \( 138\bigr] \)
44800.5-n4	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-n	\( \bigl[0\) , \( 0\) , \( 0\) , \( -283\) , \( 1482\bigr] \)
44800.5-n5	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-n	\( \bigl[0\) , \( 0\) , \( 0\) , \( -1403\) , \( -18902\bigr] \)
44800.5-n6	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-n	\( \bigl[0\) , \( 0\) , \( 0\) , \( -4283\) , \( 107882\bigr] \)
44800.5-o1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-o	\( \bigl[0\) , \( 1\) , \( 0\) , \( -1\) , \( -5\bigr] \)
44800.5-p1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-p	\( \bigl[0\) , \( 0\) , \( 0\) , \( 32\) , \( -212\bigr] \)
44800.5-q1	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-q	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a - 14\) , \( -10 a + 12\bigr] \)
44800.5-q2	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-q	\( \bigl[0\) , \( 1\) , \( 0\) , \( 16\) , \( -16 a + 4\bigr] \)