Cremona's table of elliptic curves

77315 = 5 · 7 · 47²

Class	r	Atkin-Lehner	Eigenvalues
77315a (1 curve)	2	5+ 7+ 47-	0 -2 5+ 7+ -4  1 -2  6
Curve Equation t Generators 77315a1 [0,1,1,-11781,723795] 1 [-73:1095:1]&[-63:1104:1]
77315b (1 curve)	2	5+ 7+ 47-	-1 -2 5+ 7+ -5  2 -4 -5
Curve Equation t Generators 77315b1 [1,0,0,-46,111] 1 [5:1:1]&[-2:15:1]
77315c (2 curves)	1	5+ 7- 47-	1  0 5+ 7- -6  2 -2 -8
Curve Equation t Generators 77315c1 [1,-1,0,-85,-600] 2 [110:155:8] 77315c2 [1,-1,0,-1730,-27249] 2 [1614:21543:8]
77315d (2 curves)	1	5- 7+ 47-	1  0 5- 7+ -6 -2 -4 -4
Curve Equation t Generators 77315d1 [1,-1,0,-11459,135888] 2 [71682:1201199:216] 77315d2 [1,-1,0,43766,1030533] 2 [3880992:89956113:32768]
77315e (1 curve)	1	5- 7+ 47-	-1 -2 5- 7+  5 -2 -4  5
Curve Equation t Generators 77315e1 [1,0,0,-101660,-11930933] 1 [2393:114776:1]
77315f (3 curves)	0	5- 7- 47-	0  1 5- 7-  3 -5  3 -2
Curve Equation t 77315f1 [0,1,1,-2945,-69236] 1 77315f2 [0,1,1,19145,180381] 1 77315f3 [0,1,1,-290115,62820994] 1
77315g (2 curves)	0	5- 7- 47-	1  0 5- 7-  6 -2 -2  8
Curve Equation t 77315g1 [1,-1,0,-188179,64550328] 2 77315g2 [1,-1,0,-3821984,2874935115] 2

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