Cremona's table of elliptic curves

5766 = 2 · 3 · 31²

Class	r	Atkin-Lehner	Eigenvalues
5766a (1 curve)	1	2+ 3+ 31+	2+ 3+  2 -1  3  0 -2 -2
Curve Equation t Generators 5766a1 [1,1,0,461,7405] 1 [-3:79:1]
5766b (1 curve)	0	2+ 3+ 31-	2+ 3+  1 -4 -1  5 -7 -5
Curve Equation t 5766b1 [1,1,0,-93717,59174253] 1
5766c (1 curve)	0	2+ 3+ 31-	2+ 3+  3 -2 -5  7  1  7
Curve Equation t 5766c1 [1,1,0,-15876,779088] 1
5766d (1 curve)	1	2+ 3- 31-	2+ 3-  1 -4  1 -5  7 -5
Curve Equation t Generators 5766d1 [1,0,1,-98,-1996] 1 [18:37:1]
5766e (1 curve)	1	2+ 3- 31-	2+ 3- -1  2 -3 -3 -1  7
Curve Equation t Generators 5766e1 [1,0,1,-80264,9951608] 1 [204:1339:1]
5766f (1 curve)	1	2+ 3- 31-	2+ 3-  2 -1 -3  0  2 -2
Curve Equation t Generators 5766f1 [1,0,1,442520,-214847434] 1 [480:10162:1]
5766g (2 curves)	1	2- 3+ 31-	2- 3+  1 -2  3  1 -3 -5
Curve Equation t Generators 5766g1 [1,1,1,14395,-224917] 1 [307:5612:1] 5766g2 [1,1,1,-1340615,597190343] 1 [5761220:16509331:8000]
5766h (2 curves)	1	2- 3+ 31-	2- 3+ -2  1 -3  4  0 -8
Curve Equation t Generators 5766h1 [1,1,1,11,-229] 1 [7:12:1] 5766h2 [1,1,1,-126779,17321951] 1 [1606:65:8]
5766i (2 curves)	1	2- 3- 31+	2- 3- -2  1  3 -4  0 -8
Curve Equation t Generators 5766i1 [1,0,0,10551,6954009] 1 [80:2843:1] 5766i2 [1,0,0,-121834639,-517622097841] 1 [183230:23514389:8]

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

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