Cremona's table of elliptic curves

23345 = 5 · 7 · 23 · 29

Class	r	Atkin-Lehner	Eigenvalues
23345a (2 curves)	0	5+ 7+ 23+ 29-	1 -2 5+ 7+  6 -2 -6  4
Curve Equation t 23345a1 [1,0,1,-201344,34757217] 2 23345a2 [1,0,1,-201489,34704611] 2
23345b (2 curves)	0	5+ 7+ 23+ 29-	-1  2 5+ 7+ -2  6 -2  0
Curve Equation t 23345b1 [1,1,1,-10226,-145226] 2 23345b2 [1,1,1,-132171,-18534532] 2
23345c (2 curves)	0	5+ 7+ 23+ 29-	-1  2 5+ 7+  6 -6 -6  4
Curve Equation t 23345c1 [1,1,1,-406,394] 2 23345c2 [1,1,1,-4031,-99656] 2
23345d (2 curves)	0	5+ 7+ 23- 29+	-1  0 5+ 7+  2 -6  4  2
Curve Equation t 23345d1 [1,-1,1,-6836463,6883811342] 2 23345d2 [1,-1,1,-109392208,440407456606] 2
23345e (4 curves)	1	5- 7+ 23+ 29-	-1  0 5- 7+  0 -2 -6  4
Curve Equation t Generators 23345e1 [1,-1,1,-2377,43304] 4 [42:106:1] 23345e2 [1,-1,1,-6582,-148444] 4 [-54:244:1] 23345e3 [1,-1,1,16763,-979526] 2 [107:1371:1] 23345e4 [1,-1,1,-97207,-11639694] 2 [-179:119:1]
23345f (4 curves)	1	5- 7- 23- 29-	-1  0 5- 7- -4  2  2  4
Curve Equation t Generators 23345f1 [1,-1,1,-487,4254] 2 [426:256:27] 23345f2 [1,-1,1,-492,4166] 4 [6:34:1] 23345f3 [1,-1,1,233,14896] 4 [35:237:1] 23345f4 [1,-1,1,-1297,-12256] 2 [-22:83:1]

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

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