Cremona's table of elliptic curves

1456 = 2⁴ · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
1456a (1 curve)	1	2+ 7+ 13+	2+  1  0 7+ -3 13+  4 -2
Curve Equation t Generators 1456a1 [0,1,0,-8,20] 1 [2:4:1]
1456b (1 curve)	1	2+ 7+ 13+	2+  2 -1 7+ -4 13+ -6 -1
Curve Equation t Generators 1456b1 [0,-1,0,-1,-51] 1 [12:39:1]
1456c (1 curve)	1	2+ 7+ 13+	2+ -2  3 7+  0 13+ -2 -5
Curve Equation t Generators 1456c1 [0,1,0,1071,-8501] 1 [30:227:1]
1456d (1 curve)	1	2+ 7- 13-	2+  0 -1 7- -2 13-  0  7
Curve Equation t Generators 1456d1 [0,0,0,-68,236] 1 [1:13:1]
1456e (1 curve)	0	2- 7+ 13+	2-  0 -3 7+  2 13+ -4  1
Curve Equation t 1456e1 [0,0,0,-584,-5444] 1
1456f (1 curve)	0	2- 7+ 13+	2- -3  0 7+  5 13+ -4 -2
Curve Equation t 1456f1 [0,0,0,-355,-56222] 1
1456g (3 curves)	1	2- 7+ 13-	2- -1  0 7+  3 13-  0 -2
Curve Equation t Generators 1456g1 [0,-1,0,112,448] 1 [24:128:1] 1456g2 [0,-1,0,-3088,67520] 1 [8:208:1] 1456g3 [0,-1,0,-250608,48371776] 1 [288:40:1]
1456h (3 curves)	1	2- 7+ 13-	2-  2 -3 7+  0 13- -6  7
Curve Equation t Generators 1456h1 [0,-1,0,-117,-451] 1 [68:549:1] 1456h2 [0,-1,0,203,-2499] 1 [12:39:1] 1456h3 [0,-1,0,-1877,77789] 1 [-20:327:1]
1456i (4 curves)	1	2- 7- 13+	2-  0  2 7- -4 13+ -6  0
Curve Equation t Generators 1456i1 [0,0,0,13861,-426358] 2 [31:182:1] 1456i2 [0,0,0,-68059,-3752310] 4 [-65:630:1] 1456i3 [0,0,0,-946139,-354106230] 2 [-70845:34146:125] 1456i4 [0,0,0,-500699,133740682] 4 [-771:7840:1]
1456j (1 curve)	1	2- 7- 13+	2-  0 -3 7-  6 13+  4 -5
Curve Equation t Generators 1456j1 [0,0,0,16,-16] 1 [1:1:1]
1456k (1 curve)	1	2- 7- 13+	2- -3 -4 7- -1 13+  0  6
Curve Equation t Generators 1456k1 [0,0,0,53,250] 1 [13:-56:1]
1456l (1 curve)	0	2- 7- 13-	2- -1  4 7-  1 13-  4 -2
Curve Equation t 1456l1 [0,-1,0,-73736,-7695632] 1
1456m (1 curve)	0	2- 7- 13-	2-  2  1 7-  4 13- -2  1
Curve Equation t 1456m1 [0,-1,0,-5,-7] 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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