Cremona's table of elliptic curves

56950 = 2 · 5² · 17 · 67

Class	r	Atkin-Lehner	Eigenvalues
56950a (4 curves)	1	2+ 5+ 17+ 67+	2+  0 5+ -4  0 -6 17+  4
Curve Equation t Generators 56950a1 [1,-1,0,-2197817,1000479341] 2 [-1550:26879:1] 56950a2 [1,-1,0,-11175817,-13498990659] 4 [-4864275:-40834113:2197] 56950a3 [1,-1,0,9761683,-58242428159] 2 [337305836592725:-17059043248057273:87115050737] 56950a4 [1,-1,0,-175761317,-896829369159] 2 [31288289997443915469:-6727433190630377231172:627024198080071]
56950b (1 curve)	1	2+ 5+ 17+ 67+	2+  2 5+  1 -6 -1 17+  0
Curve Equation t Generators 56950b1 [1,1,0,-2000,44000] 1 [115:1105:1]
56950c (1 curve)	2	2+ 5+ 17+ 67-	2+ -1 5+ -3  4 -5 17+ -4
Curve Equation t Generators 56950c1 [1,1,0,-240,1360] 1 [1:33:1]&[4:20:1]
56950d (1 curve)	2	2+ 5+ 17- 67+	2+ -3 5+ -4 -2 -1 17- -1
Curve Equation t Generators 56950d1 [1,-1,0,-9292,390616] 1 [93:-616:1]&[-378:6989:8]
56950e (2 curves)	1	2+ 5+ 17- 67-	2+ -2 5+  4  2 -6 17-  4
Curve Equation t Generators 56950e1 [1,0,1,-20426,-669252] 2 [-68:671:1] 56950e2 [1,0,1,-288426,-59629252] 2 [642:4141:1]
56950f (1 curve)	0	2+ 5- 17+ 67+	2+  1 5- -2  0 -3 17+  5
Curve Equation t 56950f1 [1,0,1,4328299,2245966048] 1
56950g (1 curve)	0	2+ 5- 17+ 67+	2+ -2 5-  1  3  6 17+  2
Curve Equation t 56950g1 [1,0,1,-1701,-30202] 1
56950h (1 curve)	1	2+ 5- 17- 67+	2+ -3 5-  4 -4 -4 17- -4
Curve Equation t Generators 56950h1 [1,-1,0,-367,4291] 1 [19:53:1]
56950i (1 curve)	0	2+ 5- 17- 67-	2+ -1 5- -2  4  5 17- -7
Curve Equation t 56950i1 [1,1,0,-232700,45154000] 1
56950j (1 curve)	0	2- 5+ 17+ 67+	2- -3 5+  2 -2 -4 17+  2
Curve Equation t 56950j1 [1,-1,1,-192855,-103195353] 1
56950k (1 curve)	1	2- 5+ 17+ 67-	2-  3 5+ -2  2  0 17+ -6
Curve Equation t Generators 56950k1 [1,-1,1,-1312755,580849747] 1 [22323:198200:27]
56950l (1 curve)	1	2- 5+ 17- 67+	2-  0 5+ -1 -2 -1 17- -4
Curve Equation t Generators 56950l1 [1,-1,1,22145,-2859353] 1 [139:1630:1]
56950m (2 curves)	1	2- 5+ 17- 67+	2-  0 5+ -2  4  6 17-  4
Curve Equation t Generators 56950m1 [1,-1,1,-137230,-19528103] 2 [-82424990224226:27967922682805:389977008616] 56950m2 [1,-1,1,-120480,-24486103] 2 [2385463653975722553392250:-228958782582544299477309937:261254128818921875000]
56950n (2 curves)	1	2- 5+ 17- 67+	2-  0 5+ -2  4 -6 17-  4
Curve Equation t Generators 56950n1 [1,-1,1,-38680,2929947] 2 [105:81:1] 56950n2 [1,-1,1,-22680,5361947] 2 [-111:2605:1]
56950o (1 curve)	1	2- 5+ 17- 67+	2- -1 5+ -2 -6 -4 17-  6
Curve Equation t Generators 56950o1 [1,1,1,1412,2781] 1 [5:-103:1]
56950p (1 curve)	0	2- 5+ 17- 67-	2-  1 5+  2  6  0 17-  6
Curve Equation t 56950p1 [1,0,0,-50813,4408367] 1
56950q (2 curves)	0	2- 5+ 17- 67-	2-  2 5+  0  2 -2 17- -4
Curve Equation t 56950q1 [1,1,1,-18088,890281] 2 56950q2 [1,1,1,-286088,58778281] 2
56950r (1 curve)	1	2- 5- 17+ 67+	2-  1 5-  2  4 -5 17+ -7
Curve Equation t Generators 56950r1 [1,0,0,-9308,361232] 1 [8:532:1]
56950s (1 curve)	0	2- 5- 17+ 67-	2-  3 5- -4 -4  4 17+ -4
Curve Equation t 56950s1 [1,-1,1,-15,37] 1
56950t (1 curve)	0	2- 5- 17- 67+	2-  1 5-  3  4  5 17- -4
Curve Equation t 56950t1 [1,0,0,-6013,182017] 1
56950u (1 curve)	1	2- 5- 17- 67-	2- -1 5-  2  0  3 17-  5
Curve Equation t Generators 56950u1 [1,1,1,173132,18036981] 1 [-55:2917:1]
56950v (1 curve)	1	2- 5- 17- 67-	2-  2 5- -1  3 -6 17-  2
Curve Equation t Generators 56950v1 [1,1,1,-68,-269] 1 [1940:9453:64]

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

Part of Computational Number Theory
Back to Tables and computations