Cremona's table of elliptic curves

10578 = 2 · 3 · 41 · 43

Class	r	Atkin-Lehner	Eigenvalues
10578a (1 curve)	1	2+ 3+ 41+ 43+	2+ 3+  1  0  1 -3  0  8
Curve Equation t Generators 10578a1 [1,1,0,2213,-15317] 1 [19:175:1]
10578b (2 curves)	1	2+ 3+ 41+ 43+	2+ 3+  2  4 -4  4 -2 -4
Curve Equation t Generators 10578b1 [1,1,0,-8754,311220] 2 [7945:12152:125] 10578b2 [1,1,0,-6194,500148] 2 [151:1667:1]
10578c (2 curves)	1	2+ 3+ 41+ 43+	2+ 3+ -2  0 -2  6  6 -4
Curve Equation t Generators 10578c1 [1,1,0,-20281,-177755] 2 [-23:538:1] 10578c2 [1,1,0,-240441,-45398619] 2 [1439:50182:1]
10578d (1 curve)	1	2+ 3+ 41- 43-	2+ 3+  3 -5 -1 -5  2  5
Curve Equation t Generators 10578d1 [1,1,0,-5576,-322752] 1 [112:632:1]
10578e (1 curve)	2	2+ 3- 41+ 43+	2+ 3- -1 -3 -3 -5 -2 -5
Curve Equation t Generators 10578e1 [1,0,1,916,-2050] 1 [3:25:1]&[15:115:1]
10578f (1 curve)	1	2- 3+ 41+ 43-	2- 3+  3  0  2 -1 -7 -7
Curve Equation t Generators 10578f1 [1,1,1,-346924,78505619] 1 [2606:2219:8]
10578g (1 curve)	1	2- 3+ 41+ 43-	2- 3+  3  0 -5 -1  0  0
Curve Equation t Generators 10578g1 [1,1,1,-474,-8601] 1 [37:143:1]
10578h (2 curves)	1	2- 3- 41+ 43+	2- 3- -2  0 -4  0 -2  4
Curve Equation t Generators 10578h1 [1,0,0,-989,11889] 2 [16:7:1] 10578h2 [1,0,0,-949,12905] 2 [-4:131:1]
10578i (2 curves)	0	2- 3- 41+ 43-	2- 3-  2  4  2  2 -2 -4
Curve Equation t 10578i1 [1,0,0,-16592,-710400] 2 10578i2 [1,0,0,-71632,6675968] 2
10578j (1 curve)	1	2- 3- 41- 43-	2- 3- -3  2  2  3 -3 -7
Curve Equation t Generators 10578j1 [1,0,0,-717,9201] 1 [-16:137:1]

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

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