Cremona's table of elliptic curves

128975 = 5² · 7 · 11 · 67

Class	r	Atkin-Lehner	Eigenvalues
128975a (4 curves)	0	5+ 7+ 11+ 67-	1  0 5+ 7+ 11+  2  2  0
Curve Equation t 128975a1 [1,-1,0,-240317,45404216] 2 128975a2 [1,-1,0,-246442,42972591] 4 128975a3 [1,-1,0,300433,206488216] 2 128975a4 [1,-1,0,-891317,-276240534] 2
128975b (1 curve)	0	5+ 7+ 11+ 67-	-1 -1 5+ 7+ 11+  6 -3 -2
Curve Equation t 128975b1 [1,1,1,-6888,-659594] 1
128975c (1 curve)	0	5+ 7+ 11+ 67-	-2  0 5+ 7+ 11+  2  2 -3
Curve Equation t 128975c1 [0,0,1,-1473125,-688227344] 1
128975d (2 curves)	0	5+ 7- 11+ 67+	1 -2 5+ 7- 11+ -6 -8 -2
Curve Equation t 128975d1 [1,0,1,-326,1923] 2 128975d2 [1,0,1,549,10673] 2
128975e (1 curve)	1	5+ 7- 11+ 67-	0  0 5+ 7- 11+ -4 -1 -7
Curve Equation t Generators 128975e1 [0,0,1,-125900,-17315344] 1 [1790:74112:1]
128975f (2 curves)	1	5+ 7- 11+ 67-	-1  2 5+ 7- 11+ -2 -4  2
Curve Equation t Generators 128975f1 [1,1,1,-743138,-246890594] 2 [56590467277653669521633:14839606890319472926393404:819728895309909103] 128975f2 [1,1,1,-11890263,-15785982844] 2 [16963076407574657639809072684252852510923534:4443934729085381181260334331881218329223542967:245598383388373930904965084208318427144]
128975g (1 curve)	1	5+ 7- 11- 67+	1  1 5+ 7- 11- -5 -4 -2
Curve Equation t Generators 128975g1 [1,0,1,-501,4023] 1 [33:137:1]
128975h (1 curve)	1	5+ 7- 11- 67+	-1  1 5+ 7- 11- -1 -4  6
Curve Equation t Generators 128975h1 [1,0,0,-585563,-172515508] 1 [1661:57805:1]
128975i (4 curves)	0	5+ 7- 11- 67-	1  0 5+ 7- 11-  6 -6 -4
Curve Equation t 128975i1 [1,-1,0,24532108,79849784891] 2 128975i2 [1,-1,0,-196913017,875502119016] 4 128975i3 [1,-1,0,-943770392,-10357979658359] 2 128975i4 [1,-1,0,-2993177642,63028075938891] 2
128975j (1 curve)	0	5+ 7- 11- 67-	2  2 5+ 7- 11-  2 -3 -5
Curve Equation t 128975j1 [0,-1,1,-8,3793] 1
128975k (1 curve)	1	5- 7+ 11+ 67-	-1  2 5- 7+ 11+  5 -4  7
Curve Equation t Generators 128975k1 [1,1,1,-726138,-238467094] 1 [35447050467291060372279930:1163653321265618123892376366:21604965745303308357963]
128975l (1 curve)	0	5- 7+ 11- 67-	1  2 5- 7+ 11-  1  8  7
Curve Equation t 128975l1 [1,1,0,-606580,181954575] 1
128975m (1 curve)	1	5- 7- 11+ 67+	1  1 5- 7- 11+ -6  3 -2
Curve Equation t Generators 128975m1 [1,0,1,-276,-5277] 1 [177:2256:1]
128975n (1 curve)	1	5- 7- 11+ 67+	1 -2 5- 7- 11+ -5  4  7
Curve Equation t Generators 128975n1 [1,0,1,-29046,-1907737] 1 [247:2326:1]
128975o (1 curve)	1	5- 7- 11+ 67+	2  0 5- 7- 11+ -2 -2 -3
Curve Equation t Generators 128975o1 [0,0,1,-58925,-5505819] 1 [6450:173631:8]
128975p (1 curve)	0	5- 7- 11- 67+	-1 -2 5- 7- 11- -1 -8  7
Curve Equation t 128975p1 [1,0,0,-15164513,22774650892] 1

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

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