Cremona's table of elliptic curves

35378 = 2 · 7² · 19²

Class	r	Atkin-Lehner	Eigenvalues
35378a (1 curve)	2	2+ 7+ 19-	2+  0  1 7+ -5  2 -6 19-
Curve Equation t Generators 35378a1 [1,-1,0,-224429,117908517] 1 [-502:10443:1]&[233:-8961:1]
35378b (1 curve)	2	2+ 7+ 19-	2+ -3 -2 7+  1 -1  3 19-
Curve Equation t Generators 35378b1 [1,-1,0,-58,160] 1 [2:6:1]&[-5:20:1]
35378c (2 curves)	0	2+ 7- 19+	2+ -1  0 7-  3 -2  6 19+
Curve Equation t 35378c1 [1,1,0,35010,5550364] 1 35378c2 [1,1,0,-1645445,813177037] 1
35378d (1 curve)	0	2+ 7- 19+	2+  3 -2 7- -2 -3  1 19+
Curve Equation t 35378d1 [1,-1,0,-58,3884] 1
35378e (2 curves)	1	2+ 7- 19-	2+  0 -1 7- -2 -5  0 19-
Curve Equation t Generators 35378e1 [1,-1,0,2735,1607997] 1 [-89:853:1] 35378e2 [1,-1,0,-3711955,-2756021451] 1 [89044162607685:-24280351932976551:1201157047]
35378f (1 curve)	1	2+ 7- 19-	2+  0 -1 7- -5 -2  6 19-
Curve Equation t Generators 35378f1 [1,-1,0,-4580,-342448] 1 [328:5612:1]
35378g (2 curves)	1	2+ 7- 19-	2+ -1  4 7-  2 -1 -3 19-
Curve Equation t Generators 35378g1 [1,1,0,-368,2790880] 1 [630:14125:8] 35378g2 [1,1,0,-1238598,-587844830] 1 [6640100319930:-221930290486325:3497963832]
35378h (1 curve)	1	2+ 7- 19-	2+  3  2 7-  1  1 -3 19-
Curve Equation t Generators 35378h1 [1,-1,0,-2851,-49183] 1 [2712:20749:27]
35378i (1 curve)	0	2- 7+ 19+	2-  3 -2 7+  1  1  3 19+
Curve Equation t 35378i1 [1,-1,1,-21006,-992519] 1
35378j (2 curves)	1	2- 7+ 19-	2-  2 -3 7+ -3  4 -6 19-
Curve Equation t Generators 35378j1 [1,1,1,-26902,-1715393] 1 [2150:24913:8] 35378j2 [1,1,1,61543,-8932505] 1 [587:14868:1]
35378k (2 curves)	1	2- 7- 19+	2-  0 -1 7- -2  5  0 19+
Curve Equation t Generators 35378k1 [1,-1,1,987267,-11034187867] 1 [308607780:60472317197:8000] 35378k2 [1,-1,1,-1340015823,18910251211415] 1 [30067:2393414:1]
35378l (1 curve)	1	2- 7- 19+	2- -3  2 7-  1 -1 -3 19+
Curve Equation t Generators 35378l1 [1,-1,1,-1029279,342492483] 1 [227658:1008999685:54872]
35378m (1 curve)	1	2- 7- 19+	2- -3 -2 7- -2  3  1 19+
Curve Equation t Generators 35378m1 [1,-1,1,-21006,-26535435] 1 [63633:3047861:27]
35378n (2 curves)	0	2- 7- 19-	2-  1  0 7-  3  2  6 19-
Curve Equation t 35378n1 [1,0,0,97,-799] 1 35378n2 [1,0,0,-4558,-119036] 1
35378o (3 curves)	0	2- 7- 19-	2-  1  0 7- -6  5 -3 19-
Curve Equation t 35378o1 [1,0,0,-274548,55364840] 1 35378o2 [1,0,0,167677,210479681] 1 35378o3 [1,0,0,-1512778,-5760849116] 1
35378p (6 curves)	0	2- 7- 19-	2- -2  0 7-  0 -4 -6 19-
Curve Equation t 35378p1 [1,0,0,-9213,688141] 2 35378p2 [1,0,0,-186103,30865575] 2 35378p3 [1,0,0,79232,-14400576] 2 35378p4 [1,0,0,-628328,-157186184] 2 35378p5 [1,0,0,-3016343,-2022438167] 2 35378p6 [1,0,0,-48300183,-129206631191] 2
35378q (2 curves)	0	2- 7- 19-	2- -2  3 7- -3 -4  6 19-
Curve Equation t 35378q1 [1,0,0,-1318199,584425141] 1 35378q2 [1,0,0,3015606,3072895972] 1

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