Cremona's table of elliptic curves

27807 = 3 · 13 · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
27807a (2 curves)	0	3+ 13+ 23+ 31-	1 3+ -2  4  2 13+  4  0
Curve Equation t 27807a1 [1,1,0,344,691] 2 27807a2 [1,1,0,-1411,3850] 2
27807b (2 curves)	0	3+ 13+ 23- 31+	-1 3+ -4  2  4 13+  8 -2
Curve Equation t 27807b1 [1,1,1,-880,-13624] 2 27807b2 [1,1,1,-15295,-734374] 2
27807c (1 curve)	0	3+ 13+ 23- 31+	2 3+ -1 -1 -2 13+  5  7
Curve Equation t 27807c1 [0,-1,1,-17616,905825] 1
27807d (1 curve)	0	3+ 13- 23+ 31+	-1 3+ -3 -1  5 13- -8  0
Curve Equation t 27807d1 [1,1,1,-31649462,-68545733560] 1
27807e (1 curve)	1	3+ 13- 23+ 31-	2 3+ -1 -5  6 13- -1  3
Curve Equation t Generators 27807e1 [0,-1,1,-156,-565] 1 [-54:89:8]
27807f (1 curve)	1	3+ 13- 23- 31+	0 3+  0 -2  1 13-  4  0
Curve Equation t Generators 27807f1 [0,-1,1,-496873,-238575174] 1 [597520:22174186:343]
27807g (1 curve)	1	3+ 13- 23- 31+	1 3+ -1 -1 -5 13- -4  0
Curve Equation t Generators 27807g1 [1,1,0,-438268,-111745751] 1 [-3138:2167:8]
27807h (2 curves)	1	3+ 13- 23- 31+	1 3+  2  2 -2 13-  2  6
Curve Equation t Generators 27807h1 [1,1,0,-20149,-910520] 2 [232770188:10213334426:117649] 27807h2 [1,1,0,40686,-5278473] 2 [7906:699295:1]
27807i (2 curves)	1	3+ 13- 23- 31+	1 3+  2  2  4 13- -4  6
Curve Equation t Generators 27807i1 [1,1,0,-1657694,855276903] 2 [1054:16217:1] 27807i2 [1,1,0,-26831089,53482776490] 2 [8314138:6158431:2744]
27807j (2 curves)	1	3- 13- 23+ 31+	-1 3- -2  2 -6 13- -6  6
Curve Equation t Generators 27807j1 [1,0,0,-219,1224] 2 [-15:42:1] 27807j2 [1,0,0,-104,2535] 2 [7:-50:1]
27807k (2 curves)	0	3- 13- 23+ 31-	1 3-  0  0 -2 13- -4 -4
Curve Equation t 27807k1 [1,0,1,-956,-22435] 2 27807k2 [1,0,1,-19091,-1016233] 2
27807l (1 curve)	0	3- 13- 23+ 31-	1 3-  1  5  1 13- -6  4
Curve Equation t 27807l1 [1,0,1,-208,-1105] 1
27807m (2 curves)	0	3- 13- 23+ 31-	1 3- -2  2 -2 13- -6 -2
Curve Equation t 27807m1 [1,0,1,-159697,-110361961] 2 27807m2 [1,0,1,-4566502,-3745094725] 2
27807n (2 curves)	2	3- 13- 23- 31+	-1 3- -4 -4 -6 13-  0  0
Curve Equation t Generators 27807n1 [1,0,0,215,2216] 2 [-7:23:1]&[5:-61:1] 27807n2 [1,0,0,-1800,24381] 2 [-45:144:1]&[-36:225:1]
27807o (1 curve)	1	3- 13- 23- 31-	-2 3- -3 -3  2 13- -3  5
Curve Equation t Generators 27807o1 [0,1,1,-442,-3338] 1 [-13:19:1]

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