Cremona's table of elliptic curves

58305 = 3 · 5 · 13² · 23

Class	r	Atkin-Lehner	Eigenvalues
58305a (1 curve)	1	3+ 5+ 13+ 23+	0 3+ 5+ -1  4 13+  2  4
Curve Equation t Generators 58305a1 [0,-1,1,-850971,302432327] 1 [533:11:1]
58305b (2 curves)	1	3+ 5+ 13+ 23+	1 3+ 5+  0 -2 13+ -4 -4
Curve Equation t Generators 58305b1 [1,1,0,699657,311578272] 2 [8118:359721:8] 58305b2 [1,1,0,-4869738,3206549793] 2 [1156336994:11592147803:636056]
58305c (1 curve)	1	3+ 5+ 13+ 23+	-2 3+ 5+ -3 -2 13+  5  2
Curve Equation t Generators 58305c1 [0,-1,1,5014,-192424] 1 [74:-761:1]
58305d (1 curve)	0	3+ 5+ 13+ 23-	1 3+ 5+ -3 -5 13+  2  8
Curve Equation t 58305d1 [1,1,0,421652,242857633] 1
58305e (1 curve)	2	3+ 5- 13+ 23+	0 3+ 5-  1 -4 13+  2 -4
Curve Equation t Generators 58305e1 [0,-1,1,-5035,139206] 1 [36:57:1]&[330:1:8]
58305f (2 curves)	0	3+ 5- 13+ 23+	1 3+ 5- -4 -2 13+  0  0
Curve Equation t 58305f1 [1,1,0,-175932,-29583549] 2 58305f2 [1,1,0,-2845287,-1848482046] 2
58305g (1 curve)	1	3+ 5- 13+ 23-	0 3+ 5- -1 -4 13+  5  0
Curve Equation t Generators 58305g1 [0,-1,1,-123595,-16683444] 1 [490:6337:1]
58305h (1 curve)	0	3- 5+ 13+ 23+	2 3- 5+  5  2 13+  1 -2
Curve Equation t 58305h1 [0,1,1,-16956,960275] 1
58305i (2 curves)	1	3- 5+ 13- 23+	1 3- 5+ -2  4 13- -2  6
Curve Equation t Generators 58305i1 [1,0,1,321,-323] 2 [532:3173:64] 58305i2 [1,0,1,-1304,-2923] 2 [-9:94:1]
58305j (4 curves)	1	3- 5- 13+ 23+	1 3- 5- -4  4 13+  6 -8
Curve Equation t Generators 58305j1 [1,0,1,1517,-1519] 2 [86:967:8] 58305j2 [1,0,1,-6088,-13687] 4 [1334:14539:8] 58305j3 [1,0,1,-64393,6259931] 2 [885:24907:1] 58305j4 [1,0,1,-69463,-7035637] 2 [67218:231613:216]
58305k (1 curve)	1	3- 5- 13+ 23+	-1 3- 5- -1  3 13+  6  4
Curve Equation t Generators 58305k1 [1,0,0,3630,65025] 1 [105:1215:1]
58305l (4 curves)	1	3- 5- 13+ 23+	-1 3- 5- -4 -4 13+ -2  4
Curve Equation t Generators 58305l1 [1,0,0,77145,5198400] 2 [105:-3855:1] 58305l2 [1,0,0,-369860,45160647] 4 [-41:-7742:1] 58305l3 [1,0,0,-2799235,-1771525978] 2 [-886:4088:1] 58305l4 [1,0,0,-5092565,4421219100] 2 [3355:156760:1]
58305m (1 curve)	0	3- 5- 13+ 23-	0 3- 5-  3  4 13+ -3  8
Curve Equation t 58305m1 [0,1,1,-225,3566] 1
58305n (1 curve)	0	3- 5- 13+ 23-	1 3- 5- -1  3 13+  6  0
Curve Equation t 58305n1 [1,0,1,-11158,452753] 1
58305o (2 curves)	0	3- 5- 13+ 23-	1 3- 5-  4 -2 13+ -4  0
Curve Equation t 58305o1 [1,0,1,-13343568,-23969743367] 2 58305o2 [1,0,1,-229561323,-1338660180869] 2
58305p (1 curve)	0	3- 5- 13+ 23-	-2 3- 5- -1  6 13+  3  6
Curve Equation t 58305p1 [0,1,1,10760,-1666154] 1
58305q (2 curves)	0	3- 5- 13- 23+	-1 3- 5-  2 -4 13- -2 -6
Curve Equation t 58305q1 [1,0,0,54330,-763413] 2 58305q2 [1,0,0,-220295,-6200988] 2

Data from Elliptic Curve Data by J. E. Cremona.
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