Cremona's table of elliptic curves

1330 = 2 · 5 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
1330a (1 curve)	1	2+ 5+ 7+ 19+	2+ -1 5+ 7+  0  4  7 19+
Curve Equation t Generators 1330a1 [1,1,0,2517,98557] 1 [-26:141:1]
1330b (1 curve)	1	2+ 5+ 7+ 19+	2+  2 5+ 7+ -3  1 -5 19+
Curve Equation t Generators 1330b1 [1,1,0,-408,3008] 1 [11:-4:1]
1330c (4 curves)	0	2+ 5+ 7- 19+	2+  0 5+ 7-  4  2 -2 19+
Curve Equation t 1330c1 [1,-1,0,-35,21] 2 1330c2 [1,-1,0,-355,-2475] 4 1330c3 [1,-1,0,-5675,-163139] 2 1330c4 [1,-1,0,-155,-5395] 2
1330d (2 curves)	1	2+ 5+ 7- 19-	2+  1 5+ 7-  0 -4  3 19-
Curve Equation t Generators 1330d1 [1,0,1,-344,2422] 3 [-11:75:1] 1330d2 [1,0,1,41,7546] 1 [71:572:1]
1330e (2 curves)	1	2+ 5+ 7- 19-	2+ -2 5+ 7- -3  5 -3 19-
Curve Equation t Generators 1330e1 [1,0,1,-4,12] 3 [-2:4:1] 1330e2 [1,0,1,31,-324] 1 [6:6:1]
1330f (1 curve)	1	2+ 5- 7+ 19-	2+ -3 5- 7+  0 -4  1 19-
Curve Equation t Generators 1330f1 [1,-1,0,-19,133] 1 [2:9:1]
1330g (1 curve)	1	2- 5+ 7+ 19-	2-  0 5+ 7+ -1 -1 -3 19-
Curve Equation t Generators 1330g1 [1,-1,1,-3553,89777] 1 [65:328:1]
1330h (1 curve)	1	2- 5+ 7- 19+	2-  0 5+ 7- -5 -1 -5 19+
Curve Equation t Generators 1330h1 [1,-1,1,17,-9] 1 [3:6:1]
1330i (1 curve)	1	2- 5- 7+ 19+	2- -2 5- 7+  1 -3 -7 19+
Curve Equation t Generators 1330i1 [1,0,0,-70,900] 1 [-10:30:1]
1330j (2 curves)	1	2- 5- 7- 19-	2- -2 5- 7- -3 -7  3 19-
Curve Equation t Generators 1330j1 [1,0,0,-1635,26497] 3 [-18:233:1] 1330j2 [1,0,0,8765,53217] 1 [2:265:1]

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

Part of Computational Number Theory
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