Cremona's table of elliptic curves

56525 = 5² · 7 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
56525a (1 curve)	1	5+ 7+ 17+ 19+	1 -2 5+ 7+ -3 -2 17+ 19+
Curve Equation t Generators 56525a1 [1,0,1,7349,3721323] 1 [67:2091:1]
56525b (1 curve)	1	5+ 7+ 17+ 19+	-1  1 5+ 7+  3  1 17+ 19+
Curve Equation t Generators 56525b1 [1,0,0,-1765623,-896319508] 1 [-11386789671:39664429666:15438249]
56525c (1 curve)	1	5+ 7+ 17+ 19+	-1  1 5+ 7+ -5 -7 17+ 19+
Curve Equation t Generators 56525c1 [1,0,0,-88,307] 1 [3:7:1]
56525d (1 curve)	1	5+ 7+ 17+ 19+	-1 -2 5+ 7+ -3 -2 17+ 19+
Curve Equation t Generators 56525d1 [1,0,0,-393140838,3000306743917] 1 [11587:20119:1]
56525e (1 curve)	1	5+ 7+ 17+ 19+	-2  2 5+ 7+  0  5 17+ 19+
Curve Equation t Generators 56525e1 [0,-1,1,-7658,-255782] 1 [3504:25874:27]
56525f (1 curve)	0	5+ 7+ 17+ 19-	1  1 5+ 7+ -2  4 17+ 19-
Curve Equation t 56525f1 [1,0,1,24674,-2023577] 1
56525g (1 curve)	0	5+ 7+ 17+ 19-	1 -1 5+ 7+  3 -1 17+ 19-
Curve Equation t 56525g1 [1,1,0,-46370,3824035] 1
56525h (1 curve)	0	5+ 7+ 17+ 19-	1  2 5+ 7+ -3  2 17+ 19-
Curve Equation t 56525h1 [1,1,0,2125,106250] 1
56525i (2 curves)	2	5+ 7+ 17- 19+	-1 -2 5+ 7+  0 -2 17- 19+
Curve Equation t Generators 56525i1 [1,0,0,-3134438,2135671867] 2 [-1478:60239:1]&[91:42980:1] 56525i2 [1,0,0,-3132063,2139070492] 2 [-1513:59194:1]&[612:20944:1]
56525j (2 curves)	1	5+ 7+ 17- 19-	0 -1 5+ 7+  0 -2 17- 19-
Curve Equation t Generators 56525j1 [0,-1,1,917,-35807] 1 [826:8571:8] 56525j2 [0,-1,1,-60333,-5689182] 1 [952:28262:1]
56525k (2 curves)	1	5+ 7+ 17- 19-	0 -1 5+ 7+  0  4 17- 19-
Curve Equation t Generators 56525k1 [0,-1,1,-323,2418] 1 [-12:66:1] 56525k2 [0,-1,1,1577,6883] 1 [13:-172:1]
56525l (2 curves)	1	5+ 7+ 17- 19-	0  2 5+ 7+  0  1 17- 19-
Curve Equation t Generators 56525l1 [0,-1,1,-1433,21268] 1 [74:743:8] 56525l2 [0,-1,1,-8433,-280607] 1 [-422:965:8]
56525m (1 curve)	1	5+ 7+ 17- 19-	-1 -2 5+ 7+ -1 -2 17- 19-
Curve Equation t Generators 56525m1 [1,0,0,-7088,229417] 1 [67:-271:1]
56525n (1 curve)	0	5+ 7- 17+ 19+	2  2 5+ 7- -4 -7 17+ 19+
Curve Equation t 56525n1 [0,-1,1,47992,-3942707] 1
56525o (1 curve)	1	5+ 7- 17+ 19-	0  2 5+ 7- -4 -3 17+ 19-
Curve Equation t Generators 56525o1 [0,-1,1,-2408483,1356370618] 1 [-872:52846:1]
56525p (1 curve)	1	5+ 7- 17+ 19-	-2  0 5+ 7- -6 -1 17+ 19-
Curve Equation t Generators 56525p1 [0,0,1,-5675,-160094] 1 [-44:66:1]
56525q (4 curves)	1	5+ 7- 17- 19+	1  0 5+ 7- -4 -6 17- 19+
Curve Equation t Generators 56525q1 [1,-1,0,433,11216] 2 [-58:729:8] 56525q2 [1,-1,0,-5692,152091] 4 [-10:461:1] 56525q3 [1,-1,0,-20567,-963534] 2 [36834:129083:216] 56525q4 [1,-1,0,-88817,10210216] 2 [364:-5282:1]
56525r (2 curves)	1	5+ 7- 17- 19+	1 -2 5+ 7-  0 -2 17- 19+
Curve Equation t Generators 56525r1 [1,0,1,-21101,-1181277] 2 [317:4741:1] 56525r2 [1,0,1,-18726,-1456777] 2 [227:2336:1]
56525s (1 curve)	1	5+ 7- 17- 19+	-1  2 5+ 7-  6 -3 17- 19+
Curve Equation t Generators 56525s1 [1,1,1,-203,-1514] 1 [1222:14481:8]
56525t (1 curve)	1	5+ 7- 17- 19+	2  2 5+ 7-  0  3 17- 19+
Curve Equation t Generators 56525t1 [0,-1,1,-16857408,26645671093] 1 [4447596:30007261:1728]
56525u (1 curve)	0	5- 7+ 17+ 19+	1 -2 5- 7+  6  3 17+ 19+
Curve Equation t 56525u1 [1,0,1,-5076,-179077] 1
56525v (2 curves)	1	5- 7+ 17+ 19-	1  2 5- 7+  2  2 17+ 19-
Curve Equation t Generators 56525v1 [1,1,0,550,-6625] 2 [1675834398:35504870977:3581577] 56525v2 [1,1,0,-3825,-72250] 2 [1366290:58453480:729]
56525w (2 curves)	1	5- 7+ 17- 19+	1  0 5- 7+ -4 -4 17- 19+
Curve Equation t Generators 56525w1 [1,-1,0,-707,-7024] 2 [2036:1787:64] 56525w2 [1,-1,0,-1132,2751] 2 [-10:119:1]
56525x (2 curves)	1	5- 7- 17+ 19+	-1  0 5- 7- -4  4 17+ 19+
Curve Equation t Generators 56525x1 [1,-1,1,-17680,-895678] 2 [-72:46:1] 56525x2 [1,-1,1,-28305,315572] 2 [-70:1431:1]
56525y (2 curves)	0	5- 7- 17+ 19-	0  1 5- 7-  0 -4 17+ 19-
Curve Equation t 56525y1 [0,1,1,-8083,286119] 3 56525y2 [0,1,1,39417,939244] 1
56525z (1 curve)	0	5- 7- 17- 19+	1 -1 5- 7-  3 -1 17- 19+
Curve Equation t 56525z1 [1,1,0,-44140575,-112039938500] 1
56525ba (1 curve)	0	5- 7- 17- 19+	1 -1 5- 7- -5  7 17- 19+
Curve Equation t 56525ba1 [1,1,0,-2200,38375] 1
56525bb (1 curve)	1	5- 7- 17- 19-	-1  1 5- 7-  3  1 17- 19-
Curve Equation t Generators 56525bb1 [1,0,0,-1159263,480322892] 1 [616:-70:1]
56525bc (1 curve)	1	5- 7- 17- 19-	-1 -1 5- 7- -2 -4 17- 19-
Curve Equation t Generators 56525bc1 [1,1,1,987,-15794] 1 [16:58:1]
56525bd (2 curves)	1	5- 7- 17- 19-	-1 -2 5- 7-  2 -2 17- 19-
Curve Equation t Generators 56525bd1 [1,0,0,22,-53] 2 [3:5:1] 56525bd2 [1,0,0,-153,-578] 2 [-9:14:1]

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

Part of Computational Number Theory
Back to Tables and computations