Cremona's table of elliptic curves

13376 = 2⁶ · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
13376a (2 curves)	1	2+ 11+ 19+	2+  0 -2  2 11+  2  6 19+
Curve Equation t Generators 13376a1 [0,0,0,-236,1200] 2 [-12:48:1] 13376a2 [0,0,0,404,6576] 2 [6:96:1]
13376b (2 curves)	1	2+ 11+ 19+	2+  0 -2  2 11+ -2  6 19+
Curve Equation t Generators 13376b1 [0,0,0,-33716,2382880] 2 [88:312:1] 13376b2 [0,0,0,-33676,2388816] 2 [130:456:1]
13376c (2 curves)	1	2+ 11+ 19+	2+ -1  3 -4 11+ -2  0 19+
Curve Equation t Generators 13376c1 [0,-1,0,-109,551] 1 [10:19:1] 13376c2 [0,-1,0,771,-3233] 1 [1582:6859:343]
13376d (2 curves)	1	2+ 11+ 19+	2+ -2 -2  0 11+ -4 -2 19+
Curve Equation t Generators 13376d1 [0,1,0,11,-69] 2 [7:20:1] 13376d2 [0,1,0,-209,-1169] 2 [-9:8:1]
13376e (1 curve)	1	2+ 11+ 19+	2+ -3  2  1 11+  7 -3 19+
Curve Equation t Generators 13376e1 [0,0,0,-364,-3152] 1 [24:44:1]
13376f (4 curves)	0	2+ 11- 19+	2+  0  2 -4 11- -2  2 19+
Curve Equation t 13376f1 [0,0,0,-284,-1840] 2 13376f2 [0,0,0,-364,-720] 4 13376f3 [0,0,0,-3404,75888] 4 13376f4 [0,0,0,1396,-5648] 2
13376g (1 curve)	0	2+ 11- 19+	2+  1 -1  0 11-  2 -4 19+
Curve Equation t 13376g1 [0,1,0,-21,-397] 1
13376h (1 curve)	0	2+ 11- 19+	2+  1  2 -3 11- -1 -7 19+
Curve Equation t 13376h1 [0,1,0,4223,-15137] 1
13376i (2 curves)	1	2+ 11- 19-	2+  0 -2 -2 11- -2  6 19-
Curve Equation t Generators 13376i1 [0,0,0,-33716,-2382880] 2 [218:792:1] 13376i2 [0,0,0,-33676,-2388816] 2 [454:8712:1]
13376j (1 curve)	1	2+ 11- 19-	2+ -1 -2 -3 11-  1 -7 19-
Curve Equation t Generators 13376j1 [0,-1,0,-20769,1163425] 1 [73:176:1]
13376k (1 curve)	1	2+ 11- 19-	2+ -1  3  2 11- -4 -2 19-
Curve Equation t Generators 13376k1 [0,-1,0,-2469,-46979] 1 [300:5111:1]
13376l (1 curve)	0	2- 11+ 19+	2-  1 -2  3 11+  1 -7 19+
Curve Equation t 13376l1 [0,1,0,-20769,-1163425] 1
13376m (1 curve)	0	2- 11+ 19+	2-  1  3 -2 11+ -4 -2 19+
Curve Equation t 13376m1 [0,1,0,-2469,46979] 1
13376n (4 curves)	1	2- 11+ 19-	2-  0  2  4 11+ -2  2 19-
Curve Equation t Generators 13376n1 [0,0,0,-284,1840] 2 [-8:60:1] 13376n2 [0,0,0,-364,720] 4 [-240:1540:27] 13376n3 [0,0,0,-3404,-75888] 2 [-1132032:326060:35937] 13376n4 [0,0,0,1396,5648] 4 [217056:2096380:9261]
13376o (1 curve)	1	2- 11+ 19-	2- -1 -1  0 11+  2 -4 19-
Curve Equation t Generators 13376o1 [0,-1,0,-21,397] 1 [4:19:1]
13376p (1 curve)	1	2- 11+ 19-	2- -1  2  1 11+  5 -3 19-
Curve Equation t Generators 13376p1 [0,-1,0,-417,-8447] 1 [91:836:1]
13376q (1 curve)	1	2- 11+ 19-	2- -1  2  3 11+ -1 -7 19-
Curve Equation t Generators 13376q1 [0,-1,0,4223,15137] 1 [23:352:1]
13376r (1 curve)	1	2- 11- 19+	2-  1  2 -1 11-  5 -3 19+
Curve Equation t Generators 13376r1 [0,1,0,-417,8447] 1 [19:88:1]
13376s (2 curves)	0	2- 11- 19-	2-  0 -2 -2 11-  2  6 19-
Curve Equation t 13376s1 [0,0,0,-236,-1200] 2 13376s2 [0,0,0,404,-6576] 2
13376t (2 curves)	0	2- 11- 19-	2-  1  3  4 11- -2  0 19-
Curve Equation t 13376t1 [0,1,0,-109,-551] 1 13376t2 [0,1,0,771,3233] 1
13376u (2 curves)	0	2- 11- 19-	2-  2 -2  0 11- -4 -2 19-
Curve Equation t 13376u1 [0,-1,0,11,69] 2 13376u2 [0,-1,0,-209,1169] 2
13376v (1 curve)	0	2- 11- 19-	2-  3  2 -1 11-  7 -3 19-
Curve Equation t 13376v1 [0,0,0,-364,3152] 1

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

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