Cremona's table of elliptic curves

24240 = 2⁴ · 3 · 5 · 101

Class	r	Atkin-Lehner	Eigenvalues
24240a (1 curve)	1	2+ 3+ 5+ 101+	2+ 3+ 5+  1 -5  4 -5  3
Curve Equation t Generators 24240a1 [0,-1,0,164,16] 1 [0:4:1]
24240b (2 curves)	1	2+ 3+ 5+ 101+	2+ 3+ 5+  4 -2 -2 -2  0
Curve Equation t Generators 24240b1 [0,-1,0,-2630196,-1640961504] 2 [35731298733872641288605:-4779567733174675691618466:1980159723271834021] 24240b2 [0,-1,0,-2630016,-1641197520] 2 [2578252524474:40223732065122:1298596571]
24240c (1 curve)	0	2+ 3+ 5- 101+	2+ 3+ 5-  1 -3 -4  5  1
Curve Equation t 24240c1 [0,-1,0,-5835,-169650] 1
24240d (1 curve)	0	2+ 3+ 5- 101+	2+ 3+ 5- -3  1  0 -3  1
Curve Equation t 24240d1 [0,-1,0,-1555,25090] 1
24240e (2 curves)	0	2+ 3+ 5- 101+	2+ 3+ 5-  4 -2  4  0 -4
Curve Equation t 24240e1 [0,-1,0,-240,-1008] 2 24240e2 [0,-1,0,-1320,18000] 2
24240f (4 curves)	1	2+ 3+ 5- 101-	2+ 3+ 5-  0  0  6  2 -4
Curve Equation t Generators 24240f1 [0,-1,0,-2735,-54150] 2 [970:9405:8] 24240f2 [0,-1,0,-2860,-48800] 4 [-69108:209000:2197] 24240f3 [0,-1,0,5240,-282080] 4 [2572358646:-29697543875:23393656] 24240f4 [0,-1,0,-12960,524880] 2 [-88:988:1]
24240g (1 curve)	1	2+ 3+ 5- 101-	2+ 3+ 5- -3  1  0 -3  7
Curve Equation t Generators 24240g1 [0,-1,0,-5170620,-4530927600] 1 [11840:1262500:1]
24240h (2 curves)	0	2+ 3- 5+ 101+	2+ 3- 5+  4  2  6  6 -8
Curve Equation t 24240h1 [0,1,0,-3236,31260] 2 24240h2 [0,1,0,11344,247044] 2
24240i (2 curves)	0	2+ 3- 5+ 101+	2+ 3- 5+  4  6 -2  6  0
Curve Equation t 24240i1 [0,1,0,-156,684] 2 24240i2 [0,1,0,24,2340] 2
24240j (2 curves)	1	2+ 3- 5+ 101-	2+ 3- 5+  0 -6 -4 -4  4
Curve Equation t Generators 24240j1 [0,1,0,-816,-3420] 2 [-24:54:1] 24240j2 [0,1,0,-10536,-419436] 2 [-60:18:1]
24240k (1 curve)	1	2+ 3- 5+ 101-	2+ 3- 5+  3 -3 -4  7 -1
Curve Equation t Generators 24240k1 [0,1,0,-196,1004] 1 [10:12:1]
24240l (1 curve)	1	2+ 3- 5- 101+	2+ 3- 5-  1 -4 -3  3  4
Curve Equation t Generators 24240l1 [0,1,0,80,1268] 1 [-4:30:1]
24240m (4 curves)	0	2+ 3- 5- 101-	2+ 3- 5-  0  0  2 -2 -4
Curve Equation t 24240m1 [0,1,0,-4220,-106932] 2 24240m2 [0,1,0,-4400,-97500] 4 24240m3 [0,1,0,7720,-528972] 2 24240m4 [0,1,0,-19400,940500] 2
24240n (4 curves)	0	2+ 3- 5- 101-	2+ 3- 5-  0 -4  6  2  4
Curve Equation t 24240n1 [0,1,0,-3535,69428] 2 24240n2 [0,1,0,-54540,4884300] 4 24240n3 [0,1,0,-52520,5264868] 4 24240n4 [0,1,0,-872640,313471620] 2
24240o (1 curve)	0	2+ 3- 5- 101-	2+ 3- 5- -1 -1  0 -7  5
Curve Equation t 24240o1 [0,1,0,5,8] 1
24240p (1 curve)	0	2+ 3- 5- 101-	2+ 3- 5-  3  5  0  5 -5
Curve Equation t 24240p1 [0,1,0,0,-60] 1
24240q (1 curve)	2	2+ 3- 5- 101-	2+ 3- 5- -5 -3 -4 -7 -5
Curve Equation t Generators 24240q1 [0,1,0,-8920,343268] 1 [206:-2700:1]&[-94:600:1]
24240r (2 curves)	0	2- 3+ 5+ 101+	2- 3+ 5+  1  0 -4 -3  7
Curve Equation t 24240r1 [0,-1,0,350544,-63687744] 1 24240r2 [0,-1,0,-3589296,3611229120] 1
24240s (2 curves)	0	2- 3+ 5+ 101+	2- 3+ 5+  1  6 -1 -3 -2
Curve Equation t 24240s1 [0,-1,0,-1136,-14400] 1 24240s2 [0,-1,0,2224,-76224] 1
24240t (2 curves)	1	2- 3+ 5+ 101-	2- 3+ 5+  0  0  4 -4  4
Curve Equation t Generators 24240t1 [0,-1,0,-136,496] 2 [-12:16:1] 24240t2 [0,-1,0,344,2800] 2 [-6:22:1]
24240u (2 curves)	1	2- 3+ 5+ 101-	2- 3+ 5+  0  2  0  8 -4
Curve Equation t Generators 24240u1 [0,-1,0,-4336,111040] 2 [-24:448:1] 24240u2 [0,-1,0,-6256,5056] 2 [-30:406:1]
24240v (1 curve)	1	2- 3+ 5+ 101-	2- 3+ 5+  3  0  4 -7 -5
Curve Equation t Generators 24240v1 [0,-1,0,-760536,-255033360] 1 [13068:1490400:1]
24240w (1 curve)	1	2- 3+ 5+ 101-	2- 3+ 5+ -3  0 -5 -1  4
Curve Equation t Generators 24240w1 [0,-1,0,-284842136,3712853139696] 1 [4954054:554301938:343]
24240x (1 curve)	1	2- 3+ 5+ 101-	2- 3+ 5+ -3  5  0 -1 -1
Curve Equation t Generators 24240x1 [0,-1,0,-120856,-16131344] 1 [17100:2235584:1]
24240y (2 curves)	1	2- 3+ 5+ 101-	2- 3+ 5+ -4 -4 -2  2 -8
Curve Equation t Generators 24240y1 [0,-1,0,-101,0] 2 [-4:18:1] 24240y2 [0,-1,0,404,-404] 2 [21:130:1]
24240z (2 curves)	1	2- 3+ 5- 101+	2- 3+ 5-  1  3 -4 -3 -5
Curve Equation t Generators 24240z1 [0,-1,0,120,-3600] 1 [20:80:1] 24240z2 [0,-1,0,-1080,98160] 1 [-4:320:1]
24240ba (1 curve)	1	2- 3+ 5- 101+	2- 3+ 5- -1  4  1 -5  4
Curve Equation t Generators 24240ba1 [0,-1,0,120,13680] 1 [2:118:1]
24240bb (4 curves)	1	2- 3+ 5- 101+	2- 3+ 5-  4 -6 -4  0  4
Curve Equation t Generators 24240bb1 [0,-1,0,-65773640,-205295504400] 2 [19130:2353050:1] 24240bb2 [0,-1,0,-66050120,-203482237968] 2 [-1708308:-15000000:343] 24240bb3 [0,-1,0,-76483640,-133948256400] 2 [-176228652605460:-14573504099778560:44701078149] 24240bb4 [0,-1,0,-579800120,5280931762032] 2 [-3725148:-1100636160:343]
24240bc (4 curves)	0	2- 3+ 5- 101-	2- 3+ 5-  0 -4  6  2 -4
Curve Equation t 24240bc1 [0,-1,0,-59720,-3651600] 2 24240bc2 [0,-1,0,-387400,90195952] 4 24240bc3 [0,-1,0,129720,312764400] 2 24240bc4 [0,-1,0,-6147400,5868627952] 4
24240bd (1 curve)	0	2- 3+ 5- 101-	2- 3+ 5-  3  2 -3 -7  2
Curve Equation t 24240bd1 [0,-1,0,-17760,-1329408] 1
24240be (1 curve)	1	2- 3- 5+ 101+	2- 3- 5+  1 -5  2  3 -7
Curve Equation t Generators 24240be1 [0,1,0,-41,-366] 1 [10:18:1]
24240bf (1 curve)	1	2- 3- 5+ 101+	2- 3- 5+ -1 -1 -4  7  3
Curve Equation t Generators 24240bf1 [0,1,0,-7816,-494860] 1 [446:9216:1]
24240bg (1 curve)	1	2- 3- 5+ 101+	2- 3- 5+ -1  2 -1  1  6
Curve Equation t Generators 24240bg1 [0,1,0,-4056,129300] 1 [-76:66:1]
24240bh (2 curves)	0	2- 3- 5+ 101-	2- 3- 5+  0  0  0  0  4
Curve Equation t 24240bh1 [0,1,0,-2588736,1600896564] 2 24240bh2 [0,1,0,-1966656,2390440500] 2
24240bi (1 curve)	0	2- 3- 5+ 101-	2- 3- 5+  3  0  3  3  4
Curve Equation t 24240bi1 [0,1,0,224,500] 1
24240bj (1 curve)	0	2- 3- 5+ 101-	2- 3- 5+ -3  3  6  3  7
Curve Equation t 24240bj1 [0,1,0,-561,-5310] 1
24240bk (1 curve)	0	2- 3- 5- 101+	2- 3- 5-  1  1  6 -3  7
Curve Equation t 24240bk1 [0,1,0,-25,-202] 1
24240bl (2 curves)	0	2- 3- 5- 101+	2- 3- 5-  4 -2 -4  0 -4
Curve Equation t 24240bl1 [0,1,0,-4720,-121900] 2 24240bl2 [0,1,0,-12400,366548] 2
24240bm (4 curves)	1	2- 3- 5- 101-	2- 3- 5-  0  4 -6  6 -4
Curve Equation t Generators 24240bm1 [0,1,0,-360,-972] 2 [-12:42:1] 24240bm2 [0,1,0,-3240,69300] 4 [84:630:1] 24240bm3 [0,1,0,-840,172020] 2 [2028:19810:27] 24240bm4 [0,1,0,-51720,4510068] 2 [86:840:1]
24240bn (1 curve)	1	2- 3- 5- 101-	2- 3- 5-  3  1  0 -3 -1
Curve Equation t Generators 24240bn1 [0,1,0,-478920,128372340] 1 [28664494:78643200:68921]
24240bo (1 curve)	1	2- 3- 5- 101-	2- 3- 5-  3 -4  0 -3 -1
Curve Equation t Generators 24240bo1 [0,1,0,-120,-9900] 1 [30:120:1]
24240bp (1 curve)	1	2- 3- 5- 101-	2- 3- 5- -3 -2 -3 -3  2
Curve Equation t Generators 24240bp1 [0,1,0,247960,-53345100] 1 [1420:-56250:1]

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