Cremona's table of elliptic curves

87814 = 2 · 23² · 83

Class	r	Atkin-Lehner	Eigenvalues
87814a (2 curves)	2	2+ 23- 83+	2+  1  0  1 -3 -4 -3 -2
Curve Equation t Generators 87814a1 [1,0,1,102879,-15906384] 1 [159:2036:1]&[3954:247446:1] 87814a2 [1,0,1,-994796,644367082] 1 [2137:89919:1]&[-2320:3219269:125]
87814b (1 curve)	0	2+ 23- 83+	2+  1 -2 -1  5  0 -3  8
Curve Equation t 87814b1 [1,0,1,34638,-31300284] 1
87814c (1 curve)	2	2+ 23- 83+	2+ -1  0 -1 -5 -2  1  0
Curve Equation t Generators 87814c1 [1,1,0,-2920,251516] 1 [-10:534:1]&[335:5916:1]
87814d (1 curve)	1	2+ 23- 83-	2+ -1  2 -1  5 -2  3  2
Curve Equation t Generators 87814d1 [1,1,0,-3449,-82283] 1 [266:4099:1]
87814e (1 curve)	1	2- 23- 83+	2-  1  4  1  1  4 -7 -6
Curve Equation t Generators 87814e1 [1,0,0,-298896,-64851712] 1 [80480:349104:125]
87814f (1 curve)	1	2- 23- 83+	2- -2  1 -2  4 -5  2  6
Curve Equation t Generators 87814f1 [1,0,0,-5830,-102810636] 1 [3910:24759:8]
87814g (2 curves)	1	2- 23- 83+	2- -2  3  2  0 -1  6  2
Curve Equation t Generators 87814g1 [1,0,0,1551546,4516561252] 3 [-576:58870:1] 87814g2 [1,0,0,-14022214,-124823515548] 1 [156812522880:-32103081571746:3723875]
87814h (1 curve)	1	2- 23- 83+	2- -3 -2  3 -3  4 -7  4
Curve Equation t Generators 87814h1 [1,-1,1,-4408521,3563869305] 1 [1409:11462:1]
87814i (1 curve)	2	2- 23- 83-	2- -2 -1  2 -4 -5 -2 -6
Curve Equation t Generators 87814i1 [1,0,0,-11,8449] 1 [-154:399:8]&[-12:89:1]
87814j (2 curves)	2	2- 23- 83-	2- -2 -3 -2  0 -1 -6 -2
Curve Equation t Generators 87814j1 [1,0,0,2933,-370959] 1 [102:945:1]&[254:3969:1] 87814j2 [1,0,0,-26507,10256881] 1 [-214:2585:1]&[144:2999:1]

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

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