Cremona's table of elliptic curves

37570 = 2 · 5 · 13 · 17²

Class	r	Atkin-Lehner	Eigenvalues
37570a (4 curves)	0	2+ 5+ 13- 17+	2+  2 5+ -2  0 13- 17+ -4
Curve Equation t 37570a1 [1,1,0,-1601788,779615868] 2 37570a2 [1,1,0,-1639358,741076562] 2 37570a3 [1,1,0,-2432663,-113964907] 2 37570a4 [1,1,0,-27829983,-56389346563] 2
37570b (4 curves)	0	2+ 5+ 13- 17+	2+  2 5+  4  6 13- 17+  2
Curve Equation t 37570b1 [1,1,0,-9398,344708] 2 37570b2 [1,1,0,-3618,771272] 2 37570b3 [1,1,0,-59973,-5451187] 2 37570b4 [1,1,0,32507,-20636403] 2
37570c (2 curves)	0	2+ 5+ 13- 17+	2+ -2 5+  2  4 13- 17+ -4
Curve Equation t 37570c1 [1,0,1,-643754,-196195044] 2 37570c2 [1,0,1,-10261674,-12653325028] 2
37570d (2 curves)	1	2+ 5+ 13- 17-	2+ -2 5+  2  0 13- 17-  2
Curve Equation t Generators 37570d1 [1,0,1,-3619,85086] 3 [-44:421:1] 37570d2 [1,0,1,15166,378132] 1 [1396:53555:64]
37570e (2 curves)	1	2+ 5- 13- 17+	2+  2 5- -2  0 13- 17+  2
Curve Equation t Generators 37570e1 [1,1,0,-1045752,419074496] 1 [-18700:1702379:64] 37570e2 [1,1,0,4383113,1853380629] 1 [71753502196620:-5041923802838529:41135081408]
37570f (2 curves)	0	2- 5+ 13+ 17+	2-  0 5+  0  6 13+ 17+  0
Curve Equation t 37570f1 [1,-1,1,-53953,-4090863] 2 37570f2 [1,-1,1,96327,-22905919] 2
37570g (2 curves)	0	2- 5+ 13+ 17+	2-  2 5+  0  0 13+ 17+  0
Curve Equation t 37570g1 [1,1,1,-3325461,2009311739] 2 37570g2 [1,1,1,-51132181,140706167803] 2
37570h (2 curves)	0	2- 5+ 13+ 17+	2-  2 5+  2  0 13+ 17+  4
Curve Equation t 37570h1 [1,1,1,-104046,7964843] 2 37570h2 [1,1,1,-705166,-222384341] 2
37570i (1 curve)	1	2- 5+ 13+ 17-	2-  1 5+ -3  2 13+ 17- -2
Curve Equation t Generators 37570i1 [1,0,0,-330911,73491881] 1 [428:2997:1]
37570j (4 curves)	1	2- 5+ 13- 17+	2-  0 5+  0  0 13- 17+ -8
Curve Equation t Generators 37570j1 [1,-1,1,-1933,-11339] 2 [-202:1253:8] 37570j2 [1,-1,1,-25053,-1518763] 4 [-714:485:8] 37570j3 [1,-1,1,-19273,-2242419] 2 [183:486:1] 37570j4 [1,-1,1,-400753,-97547683] 2 [-105006858:52424957:287496]
37570k (4 curves)	1	2- 5+ 13- 17+	2-  0 5+  4  0 13- 17+ -4
Curve Equation t Generators 37570k1 [1,-1,1,-457108,117956727] 4 [-735:7881:1] 37570k2 [1,-1,1,-827028,-99852169] 4 [-799:7497:1] 37570k3 [1,-1,1,3080252,-775030153] 2 [1475:-84259:1] 37570k4 [1,-1,1,-10653028,-13368882569] 2 [-1925:2407:1]
37570l (1 curve)	1	2- 5+ 13- 17+	2- -2 5+  2  4 13- 17+  2
Curve Equation t Generators 37570l1 [1,0,0,-6,-20] 1 [6:10:1]
37570m (2 curves)	1	2- 5- 13+ 17+	2-  0 5- -2  4 13+ 17+ -6
Curve Equation t Generators 37570m1 [1,-1,1,-5112,64379] 2 [9:133:1] 37570m2 [1,-1,1,18008,471291] 2 [-21:299:1]
37570n (1 curve)	1	2- 5- 13+ 17+	2- -1 5-  3 -2 13+ 17+ -2
Curve Equation t Generators 37570n1 [1,1,1,-1145,14487] 1 [-15:176:1]
37570o (2 curves)	1	2- 5- 13+ 17+	2-  2 5-  0 -2 13+ 17+ -2
Curve Equation t Generators 37570o1 [1,1,1,-88440,5767865] 2 [-255:3565:1] 37570o2 [1,1,1,281480,41872057] 2 [205:10301:1]
37570p (2 curves)	1	2- 5- 13+ 17+	2- -2 5-  0  0 13+ 17+  0
Curve Equation t Generators 37570p1 [1,0,0,-961058235,9878475982225] 2 [4070:2454465:1] 37570p2 [1,0,0,-14777200315,691392842819217] 2 [74374:1900313:1]
37570q (2 curves)	1	2- 5- 13+ 17+	2- -2 5-  4  2 13+ 17+  6
Curve Equation t Generators 37570q1 [1,0,0,-243055,-46135623] 2 [-286:213:1] 37570q2 [1,0,0,-219935,-55258775] 2 [840:18365:1]
37570r (1 curve)	1	2- 5- 13- 17-	2-  2 5- -2 -4 13- 17-  2
Curve Equation t Generators 37570r1 [1,1,1,-1740,-96523] 1 [4455:295153:1]

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

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