Cremona's table of elliptic curves

56316 = 2² · 3 · 13 · 19²

Class	r	Atkin-Lehner	Eigenvalues
56316a (1 curve)	0	2- 3+ 13+ 19+	2- 3+ -1  1  4 13+  6 19+
Curve Equation t 56316a1 [0,-1,0,564,-696] 1
56316b (1 curve)	0	2- 3+ 13+ 19+	2- 3+  2  4  4 13+  3 19+
Curve Equation t 56316b1 [0,-1,0,298,957] 1
56316c (1 curve)	0	2- 3+ 13+ 19+	2- 3+ -4 -2 -2 13+ -3 19+
Curve Equation t 56316c1 [0,-1,0,-13281310,-18630052019] 1
56316d (4 curves)	1	2- 3+ 13+ 19-	2- 3+  0  2  0 13+ -6 19-
Curve Equation t Generators 56316d1 [0,-1,0,-4813,-1190] 2 [-125818:954477:2744] 56316d2 [0,-1,0,-53548,-4738232] 2 [-8699054658:6373433009:66923416] 56316d3 [0,-1,0,-264733,52515646] 2 [-63:8303:1] 56316d4 [0,-1,0,-270148,50260840] 2 [-66:8234:1]
56316e (2 curves)	1	2- 3+ 13+ 19-	2- 3+  0 -4  0 13+  3 19-
Curve Equation t Generators 56316e1 [0,-1,0,-6618,-595035] 1 [203:2527:1] 56316e2 [0,-1,0,58362,14363361] 1 [260:6859:1]
56316f (2 curves)	1	2- 3+ 13+ 19-	2- 3+ -3 -1  3 13+ -3 19-
Curve Equation t Generators 56316f1 [0,-1,0,-1428597,-691995231] 1 [173988:7970157:64] 56316f2 [0,-1,0,7928523,-964755279] 1 [315:39546:1]
56316g (1 curve)	1	2- 3+ 13+ 19-	2- 3+  4  0  1 13+ -7 19-
Curve Equation t Generators 56316g1 [0,-1,0,-19956,-2415672] 1 [21342:3117690:1]
56316h (1 curve)	1	2- 3+ 13- 19+	2- 3+ -1 -1  0 13-  2 19+
Curve Equation t Generators 56316h1 [0,-1,0,-40476,3149352] 1 [89:494:1]
56316i (1 curve)	1	2- 3- 13+ 19+	2- 3- -1 -1  0 13+  2 19+
Curve Equation t Generators 56316i1 [0,1,0,-14611956,-21513733884] 1 [4452:41154:1]
56316j (1 curve)	0	2- 3- 13+ 19-	2- 3-  2 -2  2 13+ -7 19-
Curve Equation t 56316j1 [0,1,0,143558,24153173] 1
56316k (2 curves)	0	2- 3- 13+ 19-	2- 3- -4 -2 -4 13+  2 19-
Curve Equation t 56316k1 [0,1,0,-1925,-29856] 2 56316k2 [0,1,0,-7340,208404] 2
56316l (1 curve)	0	2- 3- 13- 19+	2- 3- -1  1  4 13-  6 19+
Curve Equation t 56316l1 [0,1,0,203484,3552708] 1
56316m (1 curve)	0	2- 3- 13- 19+	2- 3-  2  4  4 13-  3 19+
Curve Equation t 56316m1 [0,1,0,107458,-7209063] 1
56316n (1 curve)	0	2- 3- 13- 19+	2- 3-  4  0  1 13- -7 19+
Curve Equation t 56316n1 [0,1,0,-7204236,16612319412] 1
56316o (1 curve)	2	2- 3- 13- 19+	2- 3- -4 -2 -2 13- -3 19+
Curve Equation t Generators 56316o1 [0,1,0,-36790,2704529] 1 [-70:-2223:1]&[-187:1755:1]
56316p (2 curves)	1	2- 3- 13- 19-	2- 3-  0  0  0 13- -2 19-
Curve Equation t Generators 56316p1 [0,1,0,-26473,-2379244] 2 [19293734:43602663:97336] 56316p2 [0,1,0,-472308,-125073036] 2 [3932590278:-790357227561:97336]
56316q (1 curve)	1	2- 3- 13- 19-	2- 3-  2  2 -2 13- -3 19-
Curve Equation t Generators 56316q1 [0,1,0,-87482,-9990207] 1 [424:5415:1]
56316r (1 curve)	1	2- 3- 13- 19-	2- 3- -3 -3  3 13-  7 19-
Curve Equation t Generators 56316r1 [0,1,0,-96198317,363129052479] 1 [5554:14079:1]

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