Cremona's table of elliptic curves

52345 = 5 · 19² · 29

Class	r	Atkin-Lehner	Eigenvalues
52345a (1 curve)	1	5+ 19+ 29+	0  0 5+ -2  0  5  3 19+
Curve Equation t Generators 52345a1 [0,0,1,-29678,-2211396] 1 [448932:57884921:27]
52345b (1 curve)	1	5+ 19+ 29+	1  1 5+  1 -3 -2 -1 19+
Curve Equation t Generators 52345b1 [1,0,1,-3124,66931] 1 [867:-428:27]
52345c (1 curve)	0	5+ 19+ 29-	0  0 5+ -2  0 -5  3 19+
Curve Equation t 52345c1 [0,0,1,-10713758,15167963449] 1
52345d (1 curve)	0	5+ 19+ 29-	-1 -1 5+  1 -3  2 -1 19+
Curve Equation t 52345d1 [1,1,1,-1127591,-461336622] 1
52345e (2 curves)	1	5+ 19- 29-	1  0 5+ -2 -6 -2 -2 19-
Curve Equation t Generators 52345e1 [1,-1,0,-970,-10689] 2 [662:16673:1] 52345e2 [1,-1,0,835,-47150] 2 [30:50:1]
52345f (2 curves)	1	5+ 19- 29-	1  0 5+  4  0  4  4 19-
Curve Equation t Generators 52345f1 [1,-1,0,1119935,58379256] 2 [-96119801572398065100504956422887408887796:-21765801399058572399045280724858579692373370:3922794742266808791960891983853738936277] 52345f2 [1,-1,0,-4520690,472401131] 2 [-1318473484755897825518:-13852198091628643648327:622531788725716381]
52345g (1 curve)	0	5- 19- 29-	0  0 5-  4  0 -3  7 19-
Curve Equation t 52345g1 [0,0,1,-722,18862] 1

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

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