Cremona's table of elliptic curves

6314 = 2 · 7 · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
6314a (1 curve)	1	2+ 7+ 11+ 41+	2+  1 -3 7+ 11+  0 -1  4
Curve Equation t Generators 6314a1 [1,0,1,-85,-248] 1 [-4:7:1]
6314b (1 curve)	1	2+ 7+ 11- 41-	2+ -1 -1 7+ 11- -4 -3  4
Curve Equation t Generators 6314b1 [1,1,0,-9163,-290521] 1 [-55:253:1]
6314c (1 curve)	1	2+ 7+ 11- 41-	2+  3 -1 7+ 11-  0 -3 -4
Curve Equation t Generators 6314c1 [1,-1,0,-505,-4243] 1 [-339:175:27]
6314d (2 curves)	1	2+ 7- 11+ 41-	2+ -2  0 7- 11+  2 -6 -1
Curve Equation t Generators 6314d1 [1,0,1,-116,642] 3 [5:11:1] 6314d2 [1,0,1,909,-8050] 1 [31:208:1]
6314e (2 curves)	1	2+ 7- 11+ 41-	2+ -2  0 7- 11+  4  2 -2
Curve Equation t Generators 6314e1 [1,0,1,164,-954] 2 [23:111:1] 6314e2 [1,0,1,-1046,-9666] 2 [82:635:1]
6314f (1 curve)	1	2+ 7- 11- 41+	2+ -1 -1 7- 11- -2 -5 -4
Curve Equation t Generators 6314f1 [1,1,0,-15073,-716491] 1 [-73:75:1]
6314g (1 curve)	0	2- 7- 11+ 41-	2-  2  4 7- 11+ -2  2 -1
Curve Equation t 6314g1 [1,1,1,-1936,-33599] 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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