Cremona's table of elliptic curves

126736 = 2⁴ · 89²

Class	r	Atkin-Lehner	Eigenvalues
126736a (1 curve)	1	2+ 89+	2+  1 -3  4 -4 -4  7  1
Curve Equation t Generators 126736a1 [0,1,0,1644928,-413085724] 1 [51951822170944:2712783720719282:25855561493]
126736b (1 curve)	1	2+ 89+	2+ -1 -3 -4 -4  4  7 -1
Curve Equation t Generators 126736b1 [0,-1,0,208,-656] 1 [30:178:1]
126736c (2 curves)	1	2+ 89+	2+ -2  2 -4  0 -4  2  2
Curve Equation t Generators 126736c1 [0,1,0,-256112,48740260] 2 [11718:1267360:1] 126736c2 [0,1,0,-572952,-96118988] 2 [-74505:728732:125]
126736d (2 curves)	0	2- 89+	2-  1  3 -4  6 -2  3  5
Curve Equation t 126736d1 [0,1,0,757776,1286063828] 1 126736d2 [0,1,0,-70214384,226551699668] 1
126736e (1 curve)	0	2- 89+	2- -1 -1  0  0  4 -1 -5
Curve Equation t 126736e1 [0,-1,0,29044,4742332] 1
126736f (1 curve)	0	2- 89+	2- -1 -1 -4  2 -2  3 -5
Curve Equation t 126736f1 [0,-1,0,-129376,-27163456] 1
126736g (2 curves)	0	2- 89+	2-  2  2  0  0  4  2 -2
Curve Equation t 126736g1 [0,-1,0,-5642392,-4441251600] 2 126736g2 [0,-1,0,-86753432,-310976093968] 2
126736h (2 curves)	0	2- 89+	2-  2 -2  2  4 -2  6 -2
Curve Equation t 126736h1 [0,-1,0,-192744,-25262416] 2 126736h2 [0,-1,0,440936,-157067856] 2

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

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