Cremona's table of elliptic curves

75240 = 2³ · 3² · 5 · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
75240a (2 curves)	1	2+ 3+ 5+ 11+ 19+	2+ 3+ 5+  4 11+ -6 -6 19+
Curve Equation t Generators 75240a1 [0,0,0,-357723,-199951578] 2 [111727997001:10078680097728:13651919] 75240a2 [0,0,0,-7765443,-8320294242] 2 [313407999223969444658:26850255576684601685624:37380649776687881]
75240b (2 curves)	1	2+ 3+ 5- 11+ 19-	2+ 3+ 5-  4 11+ -2  2 19-
Curve Equation t Generators 75240b1 [0,0,0,453,454] 2 [215:3168:1] 75240b2 [0,0,0,-1827,3646] 2 [5862:84700:27]
75240c (6 curves)	0	2+ 3- 5+ 11+ 19+	2+ 3- 5+  0 11+ -2 -2 19+
Curve Equation t 75240c1 [0,0,0,-31098,-5403503] 2 75240c2 [0,0,0,-689943,-220318742] 4 75240c3 [0,0,0,-885963,-85025738] 4 75240c4 [0,0,0,-11035443,-14110187042] 2 75240c5 [0,0,0,3402717,-667428482] 2 75240c6 [0,0,0,-8310963,9156129262] 2
75240d (2 curves)	0	2+ 3- 5+ 11+ 19+	2+ 3- 5+  2 11+  2  6 19+
Curve Equation t 75240d1 [0,0,0,-6843,248902] 2 75240d2 [0,0,0,-113763,14768638] 2
75240e (1 curve)	0	2+ 3- 5+ 11+ 19+	2+ 3- 5+  2 11+  5  3 19+
Curve Equation t 75240e1 [0,0,0,-25055508,48419981732] 1
75240f (1 curve)	0	2+ 3- 5+ 11+ 19+	2+ 3- 5+  2 11+ -5 -2 19+
Curve Equation t 75240f1 [0,0,0,-3,9502] 1
75240g (4 curves)	0	2+ 3- 5+ 11+ 19+	2+ 3- 5+ -4 11+  2 -6 19+
Curve Equation t 75240g1 [0,0,0,-438978,-111946687] 2 75240g2 [0,0,0,-444423,-109027078] 4 75240g3 [0,0,0,270357,-426246442] 2 75240g4 [0,0,0,-1246323,395047262] 2
75240h (4 curves)	0	2+ 3- 5+ 11+ 19+	2+ 3- 5+ -4 11+ -2 -2 19+
Curve Equation t 75240h1 [0,0,0,-1051383,-424454582] 2 75240h2 [0,0,0,-16929003,-26809883498] 4 75240h3 [0,0,0,-17035923,-26454075122] 2 75240h4 [0,0,0,-270864003,-1715833142498] 2
75240i (2 curves)	0	2+ 3- 5+ 11+ 19+	2+ 3- 5+ -4 11+ -4  6 19+
Curve Equation t 75240i1 [0,0,0,-2478,-780023] 2 75240i2 [0,0,0,-143103,-20664398] 2
75240j (4 curves)	1	2+ 3- 5+ 11- 19+	2+ 3- 5+  4 11- -2  6 19+
Curve Equation t Generators 75240j1 [0,0,0,-13143,-137558] 2 [-30219:198976:343] 75240j2 [0,0,0,-125643,17029942] 4 [-321:4928:1] 75240j3 [0,0,0,-44643,38689342] 2 [146:5940:1] 75240j4 [0,0,0,-2006643,1094090542] 2 [3954:234472:1]
75240k (4 curves)	1	2+ 3- 5+ 11- 19+	2+ 3- 5+ -4 11-  6 -6 19+
Curve Equation t Generators 75240k1 [0,0,0,25737,336778] 2 [243:4576:1] 75240k2 [0,0,0,-105483,2724982] 4 [-73:3168:1] 75240k3 [0,0,0,-1028883,-399323378] 2 [1314:22748:1] 75240k4 [0,0,0,-1281603,557618398] 2 [818:7524:1]
75240l (4 curves)	0	2+ 3- 5+ 11- 19-	2+ 3- 5+  0 11-  6 -6 19-
Curve Equation t 75240l1 [0,0,0,-28218,1824473] 2 75240l2 [0,0,0,-28263,1818362] 4 75240l3 [0,0,0,-11163,3996902] 2 75240l4 [0,0,0,-46083,-751282] 2
75240m (2 curves)	1	2+ 3- 5- 11+ 19+	2+ 3- 5-  0 11+ -2  4 19+
Curve Equation t Generators 75240m1 [0,0,0,-507,3206] 2 [-25:16:1] 75240m2 [0,0,0,1293,20846] 2 [7510:650826:1]
75240n (2 curves)	1	2+ 3- 5- 11+ 19+	2+ 3- 5-  2 11+ -2  4 19+
Curve Equation t Generators 75240n1 [0,0,0,-1002,-1271] 2 [-12:95:1] 75240n2 [0,0,0,-10407,406906] 2 [87:400:1]
75240o (2 curves)	0	2+ 3- 5- 11+ 19-	2+ 3- 5-  2 11+ -2  6 19-
Curve Equation t 75240o1 [0,0,0,-50187,4325366] 2 75240o2 [0,0,0,-41187,5925566] 2
75240p (2 curves)	0	2+ 3- 5- 11+ 19-	2+ 3- 5-  2 11+  6  8 19-
Curve Equation t 75240p1 [0,0,0,1866453,563542486] 2 75240p2 [0,0,0,-8718627,4846265854] 2
75240q (2 curves)	2	2+ 3- 5- 11+ 19-	2+ 3- 5- -2 11+ -2 -4 19-
Curve Equation t Generators 75240q1 [0,0,0,-235002,43847521] 2 [272:225:1]&[-403:8550:1] 75240q2 [0,0,0,-244407,40147594] 2 [-157:8640:1]&[63:5000:1]
75240r (1 curve)	0	2+ 3- 5- 11+ 19-	2+ 3- 5- -2 11+  3  6 19-
Curve Equation t 75240r1 [0,0,0,-1076067,-527509314] 1
75240s (2 curves)	0	2+ 3- 5- 11+ 19-	2+ 3- 5- -2 11+ -4 -8 19-
Curve Equation t 75240s1 [0,0,0,-67443942,259971971249] 2 75240s2 [0,0,0,-1143611967,14884880197394] 2
75240t (1 curve)	2	2+ 3- 5- 11+ 19-	2+ 3- 5- -2 11+ -5 -1 19-
Curve Equation t Generators 75240t1 [0,0,0,348,7396] 1 [-10:54:1]&[2:-90:1]
75240u (2 curves)	0	2+ 3- 5- 11+ 19-	2+ 3- 5- -2 11+  6 -6 19-
Curve Equation t 75240u1 [0,0,0,-81696267,-284217871626] 2 75240u2 [0,0,0,-81471267,-285861226626] 2
75240v (2 curves)	0	2+ 3- 5- 11+ 19-	2+ 3- 5-  4 11+  6  0 19-
Curve Equation t 75240v1 [0,0,0,153,2106] 2 75240v2 [0,0,0,-1827,27054] 2
75240w (2 curves)	0	2+ 3- 5- 11- 19+	2+ 3- 5-  0 11- -2 -8 19+
Curve Equation t 75240w1 [0,0,0,-10407,-446726] 2 75240w2 [0,0,0,-170787,-27166034] 2
75240x (2 curves)	1	2+ 3- 5- 11- 19-	2+ 3- 5-  2 11- -2  2 19-
Curve Equation t Generators 75240x1 [0,0,0,-507,-14074] 2 [631:15840:1] 75240x2 [0,0,0,-12387,-529666] 2 [79370:1966932:125]
75240y (2 curves)	1	2+ 3- 5- 11- 19-	2+ 3- 5-  2 11-  4 -4 19-
Curve Equation t Generators 75240y1 [0,0,0,-2097462,1169073209] 2 [-1052:47025:1] 75240y2 [0,0,0,-1918767,1376466626] 2 [-1033:47500:1]
75240z (2 curves)	0	2- 3+ 5+ 11- 19-	2- 3+ 5+  4 11- -2 -2 19-
Curve Equation t 75240z1 [0,0,0,4077,-12258] 2 75240z2 [0,0,0,-16443,-98442] 2
75240ba (2 curves)	0	2- 3+ 5- 11- 19+	2- 3+ 5-  4 11- -6  6 19+
Curve Equation t 75240ba1 [0,0,0,-39747,7405614] 2 75240ba2 [0,0,0,-862827,308159046] 2
75240bb (4 curves)	1	2- 3- 5+ 11+ 19+	2- 3- 5+  0 11+  2 -2 19+
Curve Equation t Generators 75240bb1 [0,0,0,1062,3213] 2 [6:99:1] 75240bb2 [0,0,0,-4383,26082] 4 [-51:342:1] 75240bb3 [0,0,0,-42003,-3292002] 2 [-117:144:1] 75240bb4 [0,0,0,-53883,4807782] 2 [147:252:1]
75240bc (2 curves)	0	2- 3- 5+ 11+ 19-	2- 3- 5+  4 11+  4 -6 19-
Curve Equation t 75240bc1 [0,0,0,-1758,-28267] 2 75240bc2 [0,0,0,-903,-55798] 2
75240bd (4 curves)	0	2- 3- 5+ 11- 19+	2- 3- 5+  0 11- -2  2 19+
Curve Equation t 75240bd1 [0,0,0,-3553698,-1291606603] 2 75240bd2 [0,0,0,-27468543,54520858658] 4 75240bd3 [0,0,0,-43563,158456047862] 2 75240bd4 [0,0,0,-437531043,3522583446158] 2
75240be (2 curves)	0	2- 3- 5+ 11- 19+	2- 3- 5+  0 11-  4  2 19+
Curve Equation t 75240be1 [0,0,0,-1758,-31507] 2 75240be2 [0,0,0,-28983,-1899142] 2
75240bf (2 curves)	0	2- 3- 5+ 11- 19+	2- 3- 5+ -4 11-  4  2 19+
Curve Equation t 75240bf1 [0,0,0,1937922,-14927892923] 2 75240bf2 [0,0,0,-80417703,-268698515798] 2
75240bg (4 curves)	1	2- 3- 5+ 11- 19-	2- 3- 5+  0 11-  6 -2 19-
Curve Equation t Generators 75240bg1 [0,0,0,-3378,74333] 2 [38:29:1] 75240bg2 [0,0,0,-7023,-114478] 4 [-71:162:1] 75240bg3 [0,0,0,23757,-847042] 2 [43:504:1] 75240bg4 [0,0,0,-96123,-11465818] 2 [-181:52:1]
75240bh (4 curves)	1	2- 3- 5+ 11- 19-	2- 3- 5+ -4 11-  2 -2 19-
Curve Equation t Generators 75240bh1 [0,0,0,-17418,-873907] 2 [-74:99:1] 75240bh2 [0,0,0,-33663,1013762] 4 [-131:1782:1] 75240bh3 [0,0,0,120237,7693022] 2 [59:3872:1] 75240bh4 [0,0,0,-447483,115145318] 2 [419:1100:1]
75240bi (2 curves)	0	2- 3- 5- 11+ 19+	2- 3- 5-  2 11+  0  0 19+
Curve Equation t 75240bi1 [0,0,0,978,1193461] 2 75240bi2 [0,0,0,-163047,24845866] 2
75240bj (2 curves)	0	2- 3- 5- 11+ 19+	2- 3- 5-  2 11+  6  0 19+
Curve Equation t 75240bj1 [0,0,0,-9189282,10684962781] 2 75240bj2 [0,0,0,-146887887,685215349234] 2
75240bk (1 curve)	0	2- 3- 5- 11+ 19+	2- 3- 5-  5 11+  3  3 19+
Curve Equation t 75240bk1 [0,0,0,2373,54646] 1
75240bl (2 curves)	1	2- 3- 5- 11+ 19-	2- 3- 5- -2 11+ -2  0 19-
Curve Equation t Generators 75240bl1 [0,0,0,-642,-5771] 2 [-15:22:1] 75240bl2 [0,0,0,-10047,-387614] 2 [122:450:1]
75240bm (2 curves)	1	2- 3- 5- 11+ 19-	2- 3- 5- -2 11+  4  4 19-
Curve Equation t Generators 75240bm1 [0,0,0,8538,208541] 2 [2:475:1] 75240bm2 [0,0,0,-42087,1838666] 2 [-163:2090:1]
75240bn (2 curves)	1	2- 3- 5- 11- 19+	2- 3- 5-  2 11- -2 -4 19+
Curve Equation t Generators 75240bn1 [0,0,0,-2127,-3854] 2 [-43:90:1] 75240bn2 [0,0,0,-24627,-1484354] 2 [-93:40:1]
75240bo (2 curves)	1	2- 3- 5- 11- 19+	2- 3- 5-  4 11-  2  4 19+
Curve Equation t Generators 75240bo1 [0,0,0,-3567,906226] 2 [-43:990:1] 75240bo2 [0,0,0,-163947,25380214] 2 [123:2660:1]
75240bp (2 curves)	1	2- 3- 5- 11- 19+	2- 3- 5-  4 11- -6 -4 19+
Curve Equation t Generators 75240bp1 [0,0,0,-104689407,-413657364926] 2 [2427586825:221561850114:148877] 75240bp2 [0,0,0,-1676573787,-26422999447034] 2 [1073087833103145851:-270231812053758781380:12424299722281]
75240bq (2 curves)	0	2- 3- 5- 11- 19-	2- 3- 5-  2 11-  2  0 19-
Curve Equation t 75240bq1 [0,0,0,-951267,-491789554] 2 75240bq2 [0,0,0,-16763547,-26414441386] 2
75240br (2 curves)	0	2- 3- 5- 11- 19-	2- 3- 5-  2 11- -2  8 19-
Curve Equation t 75240br1 [0,0,0,-687,-6766] 2 75240br2 [0,0,0,-1587,14654] 2
75240bs (1 curve)	0	2- 3- 5- 11- 19-	2- 3- 5-  2 11-  7  5 19-
Curve Equation t 75240bs1 [0,0,0,-497172,134930036] 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