Cremona's table of elliptic curves

122544 = 2⁴ · 3² · 23 · 37

Class	r	Atkin-Lehner	Eigenvalues
122544a (1 curve)	1	2+ 3+ 23+ 37+	2+ 3+  0  3 -4  0  4  0
Curve Equation t Generators 122544a1 [0,0,0,-675,9234] 1 [18:54:1]
122544b (2 curves)	1	2+ 3+ 23+ 37+	2+ 3+  2  4  0  2 -2 -2
Curve Equation t Generators 122544b1 [0,0,0,-2079,-38690] 2 [24586281258:-293184638830:156590819] 122544b2 [0,0,0,-33819,-2393798] 2 [836121:19932122:1331]
122544c (2 curves)	0	2+ 3+ 23+ 37-	2+ 3+  0 -2  4  2  8 -8
Curve Equation t 122544c1 [0,0,0,-7695,-259794] 2 122544c2 [0,0,0,-8235,-221238] 2
122544d (1 curve)	0	2+ 3+ 23- 37+	2+ 3+  0  3  4  0 -4  0
Curve Equation t 122544d1 [0,0,0,-75,-342] 1
122544e (2 curves)	0	2+ 3+ 23- 37+	2+ 3+ -2  4  0  2  2 -2
Curve Equation t 122544e1 [0,0,0,-18711,1044630] 2 122544e2 [0,0,0,-304371,64632546] 2
122544f (2 curves)	1	2+ 3+ 23- 37-	2+ 3+  0 -2 -4  2 -8 -8
Curve Equation t Generators 122544f1 [0,0,0,-855,9622] 2 [18:8:1] 122544f2 [0,0,0,-915,8194] 2 [3:74:1]
122544g (1 curve)	0	2+ 3- 23+ 37+	2+ 3- -1 -2  0  2  1 -5
Curve Equation t 122544g1 [0,0,0,132,-164] 1
122544h (1 curve)	0	2+ 3- 23+ 37+	2+ 3-  2  4  6 -1  4 -2
Curve Equation t 122544h1 [0,0,0,12305481,-18285250943] 1
122544i (1 curve)	1	2+ 3- 23+ 37-	2+ 3-  2  1 -5 -2 -2  0
Curve Equation t Generators 122544i1 [0,0,0,-4764,66652] 1 [498:851:8]
122544j (1 curve)	1	2+ 3- 23- 37+	2+ 3-  0 -3 -5  0 -4 -6
Curve Equation t Generators 122544j1 [0,0,0,-5735700,5287223052] 1 [1369:881:1]
122544k (2 curves)	1	2+ 3- 23- 37+	2+ 3-  2  0 -6 -4 -6  6
Curve Equation t Generators 122544k1 [0,0,0,-219,-10150] 2 [37:180:1] 122544k2 [0,0,0,-8499,-299950] 2 [175:1890:1]
122544l (1 curve)	0	2+ 3- 23- 37-	2+ 3-  0 -2  2  5 -2 -8
Curve Equation t 122544l1 [0,0,0,-2316495,-1357047947] 1
122544m (1 curve)	0	2+ 3- 23- 37-	2+ 3-  2  3  6  2  0  6
Curve Equation t 122544m1 [0,0,0,-2019,436178] 1
122544n (1 curve)	0	2+ 3- 23- 37-	2+ 3- -3 -2 -4  2 -5  1
Curve Equation t 122544n1 [0,0,0,-545484,-158079764] 1
122544o (2 curves)	0	2- 3+ 23+ 37+	2- 3+ -4  2  4 -2  0 -4
Curve Equation t 122544o1 [0,0,0,-1107,12050] 2 122544o2 [0,0,0,-4947,-122350] 2
122544p (2 curves)	1	2- 3+ 23+ 37-	2- 3+  0  1  0 -4  0 -8
Curve Equation t Generators 122544p1 [0,0,0,-19635,-1059214] 1 [8229:124514:27] 122544p2 [0,0,0,7965,-3720222] 1 [151:962:1]
122544q (2 curves)	1	2- 3+ 23+ 37-	2- 3+  0 -4  0  2  0  0
Curve Equation t Generators 122544q1 [0,0,0,-1594320,1258296831] 2 [75462:5891473:216] 122544q2 [0,0,0,-29706735,62301594762] 2 [-333858:103068162:343]
122544r (1 curve)	1	2- 3+ 23+ 37-	2- 3+ -2  3  2 -6 -6  4
Curve Equation t Generators 122544r1 [0,0,0,29829,10812586] 1 [-105:2554:1]
122544s (2 curves)	1	2- 3+ 23- 37+	2- 3+  4  2 -4 -2  0 -4
Curve Equation t Generators 122544s1 [0,0,0,-9963,-325350] 2 [-307180:194689:8000] 122544s2 [0,0,0,-44523,3303450] 2 [50:13915:8]
122544t (2 curves)	2	2- 3+ 23- 37-	2- 3+  0  1  0 -4  0 -8
Curve Equation t Generators 122544t1 [0,0,0,885,137786] 1 [-38:222:1]&[-1:370:1] 122544t2 [0,0,0,-176715,28598778] 1 [-102:6750:1]&[87:3726:1]
122544u (2 curves)	0	2- 3+ 23- 37-	2- 3+  0 -4  0  2  0  0
Curve Equation t 122544u1 [0,0,0,-14348880,-33974014437] 2 122544u2 [0,0,0,-267360615,-1682143058574] 2
122544v (1 curve)	0	2- 3+ 23- 37-	2- 3+  2  3 -2 -6  6  4
Curve Equation t 122544v1 [0,0,0,268461,-291939822] 1
122544w (1 curve)	1	2- 3- 23+ 37+	2- 3-  0 -1 -4 -4  6 -2
Curve Equation t Generators 122544w1 [0,0,0,44205,48866834] 1 [671:19510:1]
122544x (1 curve)	1	2- 3- 23+ 37+	2- 3-  0  3  1  4  0 -2
Curve Equation t Generators 122544x1 [0,0,0,-4080,99632] 1 [562:3197:8]
122544y (1 curve)	1	2- 3- 23+ 37+	2- 3-  0 -3  4  4  6 -2
Curve Equation t Generators 122544y1 [0,0,0,-213195,41632058] 1 [71:5182:1]
122544z (1 curve)	1	2- 3- 23+ 37+	2- 3-  0  5 -5 -4  8 -6
Curve Equation t Generators 122544z1 [0,0,0,-840,8908] 1 [21:23:1]
122544ba (1 curve)	1	2- 3- 23+ 37+	2- 3-  2 -1 -2 -2  0  2
Curve Equation t Generators 122544ba1 [0,0,0,1581,7058] 1 [-1:74:1]
122544bb (2 curves)	1	2- 3- 23+ 37+	2- 3- -2  2  0 -2 -2  8
Curve Equation t Generators 122544bb1 [0,0,0,1824,21395] 2 [-99048:1233233:13824] 122544bb2 [0,0,0,-9111,189794] 2 [2370:6956:27]
122544bc (1 curve)	1	2- 3- 23+ 37+	2- 3- -2  5  6 -2  4  2
Curve Equation t Generators 122544bc1 [0,0,0,-10731,-448486] 1 [198135:2980178:729]
122544bd (1 curve)	0	2- 3- 23+ 37-	2- 3-  0  2 -2  1 -2  0
Curve Equation t 122544bd1 [0,0,0,-225,-1593] 1
122544be (2 curves)	0	2- 3- 23- 37+	2- 3-  0  2 -4  2  4 -6
Curve Equation t 122544be1 [0,0,0,-237315,-111255806] 2 122544be2 [0,0,0,-5213955,-4577292542] 2
122544bf (1 curve)	2	2- 3- 23- 37+	2- 3-  0 -3 -4 -4 -2  2
Curve Equation t Generators 122544bf1 [0,0,0,36285,8481346] 1 [-145:414:1]&[407:9522:1]
122544bg (4 curves)	0	2- 3- 23- 37+	2- 3- -2 -4  4  2  6  4
Curve Equation t 122544bg1 [0,0,0,-7851,267226] 2 122544bg2 [0,0,0,-10731,53530] 4 122544bg3 [0,0,0,42549,426490] 2 122544bg4 [0,0,0,-110091,-13995974] 2
122544bh (1 curve)	2	2- 3- 23- 37+	2- 3- -4 -1  0  0  2 -6
Curve Equation t Generators 122544bh1 [0,0,0,-24987,1524490] 1 [-177:634:1]&[119:486:1]

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