Cremona's table of elliptic curves

8970 = 2 · 3 · 5 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
8970a (1 curve)	1	2+ 3+ 5+ 13+ 23+	2+ 3+ 5+ -1 -5 13+  2  4
Curve Equation t Generators 8970a1 [1,1,0,52,1872] 1 [-8:36:1]
8970b (4 curves)	0	2+ 3+ 5+ 13- 23+	2+ 3+ 5+  4  4 13- -6  8
Curve Equation t 8970b1 [1,1,0,-2903,90453] 2 8970b2 [1,1,0,-52903,4660453] 4 8970b3 [1,1,0,-59403,3434553] 2 8970b4 [1,1,0,-846403,299366353] 4
8970c (4 curves)	1	2+ 3+ 5- 13- 23+	2+ 3+ 5-  0  0 13-  2  4
Curve Equation t Generators 8970c1 [1,1,0,-552,4416] 2 [17:9:1] 8970c2 [1,1,0,-1832,-25536] 4 [-32:56:1] 8970c3 [1,1,0,-27832,-1798736] 2 [-97:56:1] 8970c4 [1,1,0,3688,-143664] 4 [37:194:1]
8970d (1 curve)	1	2+ 3+ 5- 13- 23+	2+ 3+ 5- -1 -3 13- -6 -4
Curve Equation t Generators 8970d1 [1,1,0,14673,139749] 1 [398:8121:1]
8970e (4 curves)	0	2+ 3- 5+ 13- 23-	2+ 3- 5+  2  0 13-  6 -4
Curve Equation t 8970e1 [1,0,1,-18264864,30925430062] 6 8970e2 [1,0,1,-294614184,1946357836846] 6 8970e3 [1,0,1,86612721,107938474306] 2 8970e4 [1,0,1,-368957199,889149773122] 2
8970f (1 curve)	1	2+ 3- 5- 13+ 23+	2+ 3- 5- -3  3 13+ -2 -4
Curve Equation t Generators 8970f1 [1,0,1,-3643,84758] 1 [19:140:1]
8970g (2 curves)	1	2+ 3- 5- 13- 23-	2+ 3- 5- -2 -4 13-  6 -8
Curve Equation t Generators 8970g1 [1,0,1,-403,12506] 2 [25:-148:1] 8970g2 [1,0,1,-10933,437918] 2 [-86:905:1]
8970h (4 curves)	0	2- 3+ 5+ 13+ 23+	2- 3+ 5+  0 -4 13+  2  8
Curve Equation t 8970h1 [1,1,1,-273646,-55211221] 2 8970h2 [1,1,1,-278766,-53044437] 4 8970h3 [1,1,1,-900686,265876139] 2 8970h4 [1,1,1,261234,-233188437] 2
8970i (2 curves)	2	2- 3+ 5+ 13+ 23+	2- 3+ 5+ -4 -6 13+ -8 -8
Curve Equation t Generators 8970i1 [1,1,1,-3316,73013] 2 [1198:-14373:8]&[-41:397:1] 8970i2 [1,1,1,-53236,4705589] 2 [-149:3133:1]&[-11:2305:1]
8970j (1 curve)	0	2- 3+ 5+ 13+ 23+	2- 3+ 5+  5 -5 13+  2  0
Curve Equation t 8970j1 [1,1,1,-11306,481799] 1
8970k (2 curves)	1	2- 3+ 5+ 13+ 23-	2- 3+ 5+  2 -2 13+ -4  0
Curve Equation t Generators 8970k1 [1,1,1,-188351,-35151451] 2 [939:24370:1] 8970k2 [1,1,1,-3108671,-2110914907] 2 [-1021:602:1]
8970l (4 curves)	1	2- 3+ 5+ 13- 23+	2- 3+ 5+ -4  0 13-  2  0
Curve Equation t Generators 8970l1 [1,1,1,1794,-35781] 4 [19:65:1] 8970l2 [1,1,1,-11726,-371077] 4 [-41:227:1] 8970l3 [1,1,1,-174226,-28061077] 2 [1397:48873:1] 8970l4 [1,1,1,-65546,6130379] 2 [193:749:1]
8970m (2 curves)	1	2- 3+ 5- 13+ 23+	2- 3+ 5-  0  2 13+ -4 -4
Curve Equation t Generators 8970m1 [1,1,1,5615,5615] 2 [103:-1352:1] 8970m2 [1,1,1,-22465,16847] 2 [-143:646:1]
8970n (2 curves)	0	2- 3+ 5- 13+ 23-	2- 3+ 5- -2 -6 13+ -4  4
Curve Equation t 8970n1 [1,1,1,-49635,-6543363] 2 8970n2 [1,1,1,-906465,-332481495] 2
8970o (6 curves)	1	2- 3+ 5- 13- 23-	2- 3+ 5-  0 -4 13-  2  4
Curve Equation t Generators 8970o1 [1,1,1,520845,-292013775] 4 [1863:83618:1] 8970o2 [1,1,1,-4722035,-3372730063] 8 [-1143:23656:1] 8970o3 [1,1,1,-72434035,-237304147663] 4 [10317:331996:1] 8970o4 [1,1,1,-20896115,33497702705] 4 [-337:201418:1] 8970o5 [1,1,1,-1158935635,-15186262361743] 2 [155648955:-104624879612:343] 8970o6 [1,1,1,-69324435,-258602419983] 2 [277455:8988916:27]
8970p (1 curve)	0	2- 3- 5- 13+ 23+	2- 3- 5- -1 -5 13+  6  8
Curve Equation t 8970p1 [1,0,0,-3335,-1413543] 1
8970q (2 curves)	1	2- 3- 5- 13+ 23-	2- 3- 5- -4  2 13+  0 -4
Curve Equation t Generators 8970q1 [1,0,0,-40,-208] 2 [14:38:1] 8970q2 [1,0,0,-820,-9100] 2 [40:130:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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