Cremona's table of elliptic curves

80864 = 2⁵ · 7 · 19²

Class	r	Atkin-Lehner	Eigenvalues
80864a (1 curve)	0	2+ 7+ 19-	2+  0 -3 7+ -2  1  0 19-
Curve Equation t 80864a1 [0,0,0,-2476099,-1500515994] 1
80864b (1 curve)	0	2+ 7+ 19-	2+  1  4 7+  1  6 -6 19-
Curve Equation t 80864b1 [0,1,0,184,392] 1
80864c (1 curve)	0	2+ 7- 19+	2+  1  4 7- -1 -6 -6 19+
Curve Equation t 80864c1 [0,1,0,66304,2290652] 1
80864d (2 curves)	1	2+ 7- 19-	2+  0  2 7-  0  4  6 19-
Curve Equation t Generators 80864d1 [0,0,0,-32129,4526940] 2 [-165:2310:1] 80864d2 [0,0,0,-651244,202148448] 2 [6954:576156:1]
80864e (1 curve)	1	2+ 7- 19-	2+  0 -3 7-  2  1  0 19-
Curve Equation t Generators 80864e1 [0,0,0,-2476099,1500515994] 1 [7090:11781:8]
80864f (1 curve)	2	2- 7+ 19+	2-  0 -3 7+ -2 -1  0 19+
Curve Equation t Generators 80864f1 [0,0,0,-6859,218766] 1 [-95:114:1]&[38:114:1]
80864g (1 curve)	0	2- 7+ 19+	2- -1  4 7+  1 -6 -6 19+
Curve Equation t 80864g1 [0,-1,0,66304,-2290652] 1
80864h (2 curves)	1	2- 7+ 19-	2-  0  2 7+  0  4  6 19-
Curve Equation t Generators 80864h1 [0,0,0,-32129,-4526940] 2 [26042103:4922036450:729] 80864h2 [0,0,0,-651244,-202148448] 2 [1533088635364044:289701634091284900:42911760501]
80864i (2 curves)	1	2- 7+ 19-	2-  2  0 7+ -4  4 -2 19-
Curve Equation t Generators 80864i1 [0,-1,0,602,3864] 2 [1871805:13692788:59319] 80864i2 [0,-1,0,-3008,37076] 2 [3900:43498:27]
80864j (1 curve)	1	2- 7- 19+	2-  0 -3 7-  2 -1  0 19+
Curve Equation t Generators 80864j1 [0,0,0,-6859,-218766] 1 [1074:9051:8]
80864k (1 curve)	0	2- 7- 19-	2- -1  4 7- -1  6 -6 19-
Curve Equation t 80864k1 [0,-1,0,184,-392] 1
80864l (2 curves)	0	2- 7- 19-	2- -2  0 7-  4  4 -2 19-
Curve Equation t 80864l1 [0,1,0,602,-3864] 2 80864l2 [0,1,0,-3008,-37076] 2

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

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