Cremona's table of elliptic curves

6370 = 2 · 5 · 7² · 13

Class	r	Atkin-Lehner	Eigenvalues
6370a (2 curves)	2	2+ 5+ 7+ 13-	2+ -2 5+ 7+ -3 13- -3 -7
Curve Equation t Generators 6370a1 [1,0,1,-369,3476] 3 [-22:43:1]&[-17:78:1] 6370a2 [1,0,1,2816,-36018] 1 [25:211:1]&[46:414:1]
6370b (3 curves)	0	2+ 5+ 7- 13+	2+ -1 5+ 7- -3 13+ -6 -2
Curve Equation t 6370b1 [1,1,0,-28343928,-62991234368] 1 6370b2 [1,1,0,174546697,57840468757] 1 6370b3 [1,1,0,-2474656678,50249707696532] 1
6370c (4 curves)	0	2+ 5+ 7- 13+	2+  2 5+ 7- -6 13+  6 -2
Curve Equation t 6370c1 [1,1,0,-1593,-25003] 2 6370c2 [1,1,0,-613,-54207] 2 6370c3 [1,1,0,-10168,374592] 2 6370c4 [1,1,0,5512,1443968] 2
6370d (2 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7-  0 13- -6  4
Curve Equation t Generators 6370d1 [1,-1,0,5,-15] 2 [3:3:1] 6370d2 [1,-1,0,-65,-169] 2 [-5:6:1]
6370e (2 curves)	1	2+ 5+ 7- 13-	2+  0 5+ 7- -2 13-  4  4
Curve Equation t Generators 6370e1 [1,-1,0,-1430,18976] 2 [-33:188:1] 6370e2 [1,-1,0,2000,93750] 2 [-19:230:1]
6370f (2 curves)	1	2+ 5- 7- 13+	2+  0 5- 7-  0 13+  6 -4
Curve Equation t Generators 6370f1 [1,-1,0,236,4668] 2 [-11:31:1] 6370f2 [1,-1,0,-3194,64350] 2 [-61:202:1]
6370g (2 curves)	1	2+ 5- 7- 13+	2+ -1 5- 7- -3 13+  6 -2
Curve Equation t Generators 6370g1 [1,1,0,318,-14174] 1 [27:109:1] 6370g2 [1,1,0,-2867,392869] 1 [83:816:1]
6370h (4 curves)	1	2+ 5- 7- 13+	2+  2 5- 7-  0 13+  0 -2
Curve Equation t Generators 6370h1 [1,1,0,-11442,-475264] 2 [1070:34304:1] 6370h2 [1,1,0,-14872,-171366] 2 [-15:228:1] 6370h3 [1,1,0,-46477,3377949] 2 [258:2811:1] 6370h4 [1,1,0,-718757,234238901] 2 [97:12814:1]
6370i (2 curves)	1	2+ 5- 7- 13+	2+  2 5- 7- -3 13+  3  7
Curve Equation t Generators 6370i1 [1,1,0,-18057,-1210411] 1 [350:5783:1] 6370i2 [1,1,0,138008,12492096] 1 [-48:2424:1]
6370j (4 curves)	0	2+ 5- 7- 13-	2+  0 5- 7-  4 13- -2  4
Curve Equation t 6370j1 [1,-1,0,-98009,-10779987] 2 6370j2 [1,-1,0,-348889,67344045] 4 6370j3 [1,-1,0,-5342969,4754787533] 2 6370j4 [1,-1,0,631111,376828045] 2
6370k (2 curves)	1	2- 5+ 7+ 13-	2- -2 5+ 7+  3 13- -3 -1
Curve Equation t Generators 6370k1 [1,0,0,-7352941,7674505425] 3 [14018:1623711:1] 6370k2 [1,0,0,988819,23788766161] 1 [886:158807:1]
6370l (4 curves)	1	2- 5+ 7- 13+	2-  0 5+ 7-  0 13+ -2  8
Curve Equation t Generators 6370l1 [1,-1,1,-328,907] 2 [-5:51:1] 6370l2 [1,-1,1,-4248,107531] 4 [23:135:1] 6370l3 [1,-1,1,-67948,6834251] 2 [153:-29:1] 6370l4 [1,-1,1,-3268,157707] 2 [37:275:1]
6370m (1 curve)	1	2- 5+ 7- 13+	2-  1 5+ 7- -1 13+  4  0
Curve Equation t Generators 6370m1 [1,0,0,-199676,-37991920] 1 [788:16756:1]
6370n (2 curves)	1	2- 5+ 7- 13+	2- -1 5+ 7-  0 13+  0 -2
Curve Equation t Generators 6370n1 [1,1,1,-9101,385923] 1 [-41:852:1] 6370n2 [1,1,1,-770701,260100483] 1 [449:1972:1]
6370o (1 curve)	0	2- 5+ 7- 13-	2- -1 5+ 7-  3 13-  0 -8
Curve Equation t 6370o1 [1,1,1,-215111,38323683] 1
6370p (1 curve)	0	2- 5+ 7- 13-	2- -1 5+ 7- -4 13-  0  6
Curve Equation t 6370p1 [1,1,1,-14456,-681591] 1
6370q (2 curves)	0	2- 5+ 7- 13-	2-  2 5+ 7- -4 13-  0  6
Curve Equation t 6370q1 [1,1,1,-56106,-4180681] 2 6370q2 [1,1,1,-275626,51840823] 2
6370r (1 curve)	1	2- 5- 7+ 13+	2-  1 5- 7+ -4 13+  0 -6
Curve Equation t Generators 6370r1 [1,0,0,-295,1945] 1 [12:7:1]
6370s (2 curves)	0	2- 5- 7+ 13-	2-  1 5- 7+  0 13-  0  2
Curve Equation t 6370s1 [1,0,0,-445950,-133709500] 3 6370s2 [1,0,0,-37764350,-89327758780] 1
6370t (2 curves)	0	2- 5- 7- 13+	2-  0 5- 7- -6 13+  8  0
Curve Equation t 6370t1 [1,-1,1,-1660987,-757855829] 2 6370t2 [1,-1,1,1851333,-3538208341] 2
6370u (1 curve)	0	2- 5- 7- 13+	2-  1 5- 7-  3 13+  0  8
Curve Equation t 6370u1 [1,0,0,-4390,-112358] 1
6370v (6 curves)	0	2- 5- 7- 13+	2-  2 5- 7-  0 13+  0 -2
Curve Equation t 6370v1 [1,1,1,-58605,-5464285] 2 6370v2 [1,1,1,-936685,-349320413] 2 6370v3 [1,1,1,-325165,67171747] 2 6370v4 [1,1,1,-997445,-301506605] 2 6370v5 [1,1,1,-25919825,50781305035] 2 6370v6 [1,1,1,-25923255,50767188527] 2
6370w (2 curves)	0	2- 5- 7- 13+	2-  2 5- 7-  3 13+  3  1
Curve Equation t 6370w1 [1,1,1,-150060,-22438963] 1 6370w2 [1,1,1,20180,-69346355] 1
6370x (2 curves)	0	2- 5- 7- 13+	2- -2 5- 7-  4 13+  0  2
Curve Equation t 6370x1 [1,0,0,-295,-603] 2 6370x2 [1,0,0,-3725,-87725] 2
6370y (1 curve)	0	2- 5- 7- 13+	2-  3 5- 7-  3 13+  2  6
Curve Equation t 6370y1 [1,-1,1,-1602,-24671] 1
6370z (1 curve)	1	2- 5- 7- 13-	2-  1 5- 7- -5 13- -2  6
Curve Equation t Generators 6370z1 [1,0,0,-9605,-2028223] 1 [914:26983:1]
6370ba (1 curve)	1	2- 5- 7- 13-	2- -1 5- 7- -1 13- -4  0
Curve Equation t Generators 6370ba1 [1,1,1,-4075,109017] 1 [-43:476:1]
6370bb (2 curves)	1	2- 5- 7- 13-	2- -2 5- 7- -2 13- -2 -6
Curve Equation t Generators 6370bb1 [1,0,0,-41210,3216100] 2 [60:-1010:1] 6370bb2 [1,0,0,-37290,3853492] 2 [174:-1712:1]

Data from Elliptic Curve Data by J. E. Cremona.
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