Cremona's table of elliptic curves

103824 = 2⁴ · 3² · 7 · 103

Class	r	Atkin-Lehner	Eigenvalues
103824a (1 curve)	2	2+ 3+ 7+ 103-	2+ 3+  0 7+  1  0  0 -7
Curve Equation t Generators 103824a1 [0,0,0,-9435,352746] 1 [57:-12:1]&[25:364:1]
103824b (1 curve)	0	2+ 3+ 7+ 103-	2+ 3+  0 7+ -1  0  0 -7
Curve Equation t 103824b1 [0,0,0,-84915,-9524142] 1
103824c (2 curves)	0	2+ 3+ 7- 103+	2+ 3+  2 7-  4  2 -4  4
Curve Equation t 103824c1 [0,0,0,-45414,3725055] 2 103824c2 [0,0,0,-45279,3748302] 2
103824d (2 curves)	0	2+ 3+ 7- 103+	2+ 3+ -2 7- -4  2  4  4
Curve Equation t 103824d1 [0,0,0,-5046,-137965] 2 103824d2 [0,0,0,-5031,-138826] 2
103824e (2 curves)	1	2+ 3+ 7- 103-	2+ 3+  2 7-  0  2  4 -4
Curve Equation t Generators 103824e1 [0,0,0,-54,-737] 2 [4755:28574:125] 103824e2 [0,0,0,-1599,-24530] 2 [153:1820:1]
103824f (1 curve)	1	2+ 3+ 7- 103-	2+ 3+  2 7-  3  2  1  4
Curve Equation t Generators 103824f1 [0,0,0,-32364,-2514052] 1 [1277486:25047849:2744]
103824g (2 curves)	1	2+ 3+ 7- 103-	2+ 3+ -2 7-  0  2 -4 -4
Curve Equation t Generators 103824g1 [0,0,0,-486,19899] 2 [-29:98:1] 103824g2 [0,0,0,-14391,662310] 2 [-123:756:1]
103824h (1 curve)	1	2+ 3+ 7- 103-	2+ 3+ -2 7- -3  2 -1  4
Curve Equation t Generators 103824h1 [0,0,0,-291276,67879404] 1 [11940:286443:64]
103824i (2 curves)	0	2+ 3- 7+ 103+	2+ 3-  0 7+ -2 -2 -2 -4
Curve Equation t 103824i1 [0,0,0,-57315,-5377678] 2 103824i2 [0,0,0,-921675,-340576486] 2
103824j (2 curves)	1	2+ 3- 7+ 103-	2+ 3-  0 7+ -2  6  6 -4
Curve Equation t Generators 103824j1 [0,0,0,225,702] 2 [78:702:1] 103824j2 [0,0,0,-1035,5994] 2 [3:54:1]
103824k (1 curve)	1	2+ 3- 7+ 103-	2+ 3-  0 7+ -5 -6  2  5
Curve Equation t Generators 103824k1 [0,0,0,-13028475,-18103461878] 1 [1468045:150456852:125]
103824l (2 curves)	1	2+ 3- 7+ 103-	2+ 3-  2 7+ -2 -2 -8 -8
Curve Equation t Generators 103824l1 [0,0,0,-1839,26350] 2 [33:40:1] 103824l2 [0,0,0,3021,142018] 2 [29:504:1]
103824m (1 curve)	1	2+ 3- 7+ 103-	2+ 3-  2 7+  4  1  4 -8
Curve Equation t Generators 103824m1 [0,0,0,-1494219,703022938] 1 [729:1076:1]
103824n (1 curve)	1	2+ 3- 7- 103+	2+ 3-  3 7-  0 -1 -2  2
Curve Equation t Generators 103824n1 [0,0,0,1149,-3278] 1 [3:14:1]
103824o (1 curve)	2	2+ 3- 7- 103-	2+ 3-  1 7- -4 -1 -6  2
Curve Equation t Generators 103824o1 [0,0,0,-101667,-111232942] 1 [619:7938:1]&[1403:50078:1]
103824p (2 curves)	0	2+ 3- 7- 103-	2+ 3-  2 7-  0  2 -2  4
Curve Equation t 103824p1 [0,0,0,141,2882] 2 103824p2 [0,0,0,-2379,41690] 2
103824q (4 curves)	0	2+ 3- 7- 103-	2+ 3-  2 7-  0  2 -2  8
Curve Equation t 103824q1 [0,0,0,-1576839,762130150] 2 103824q2 [0,0,0,-1577019,761947450] 4 103824q3 [0,0,0,-1317459,1021040242] 2 103824q4 [0,0,0,-1839459,491161858] 2
103824r (2 curves)	0	2+ 3- 7- 103-	2+ 3- -2 7-  2  2 -4  4
Curve Equation t 103824r1 [0,0,0,-99426,14809219] 2 103824r2 [0,0,0,-1689231,845005390] 2
103824s (2 curves)	2	2+ 3- 7- 103-	2+ 3- -2 7- -4 -4  0  2
Curve Equation t Generators 103824s1 [0,0,0,-2091,36650] 2 [-29:270:1]&[13:108:1] 103824s2 [0,0,0,-1011,74450] 2 [-43:196:1]&[13:-252:1]
103824t (1 curve)	0	2+ 3- 7- 103-	2+ 3- -4 7- -3 -4 -5  2
Curve Equation t 103824t1 [0,0,0,-12,-2900] 1
103824u (2 curves)	0	2- 3+ 7+ 103+	2- 3+  0 7+  2  2  6 -4
Curve Equation t 103824u1 [0,0,0,-6480,-201717] 2 103824u2 [0,0,0,-103815,-12874734] 2
103824v (2 curves)	2	2- 3+ 7+ 103+	2- 3+  0 7+ -2  2 -6 -4
Curve Equation t Generators 103824v1 [0,0,0,-720,7471] 2 [-3:98:1]&[17:12:1] 103824v2 [0,0,0,-11535,476842] 2 [-46:954:1]&[14:564:1]
103824w (1 curve)	0	2- 3+ 7+ 103+	2- 3+  1 7+  2  1  0  6
Curve Equation t 103824w1 [0,0,0,-3817114227,-90771779224782] 1
103824x (1 curve)	0	2- 3+ 7+ 103+	2- 3+ -1 7+ -2  1  0  6
Curve Equation t 103824x1 [0,0,0,-424123803,3361917749066] 1
103824y (1 curve)	0	2- 3+ 7+ 103+	2- 3+  2 7+  1 -2 -3  0
Curve Equation t 103824y1 [0,0,0,576,-20368] 1
103824z (1 curve)	0	2- 3+ 7+ 103+	2- 3+ -2 7+ -1 -2  3  0
Curve Equation t 103824z1 [0,0,0,5184,549936] 1
103824ba (2 curves)	0	2- 3+ 7+ 103+	2- 3+  3 7+ -6  5 -6 -8
Curve Equation t 103824ba1 [0,0,0,-3951,-96598] 1 103824ba2 [0,0,0,13689,-494478] 1
103824bb (2 curves)	0	2- 3+ 7+ 103+	2- 3+ -3 7+  6  5  6 -8
Curve Equation t 103824bb1 [0,0,0,1521,18314] 1 103824bb2 [0,0,0,-35559,2608146] 1
103824bc (1 curve)	0	2- 3+ 7+ 103+	2- 3+  4 7+  3 -4  0  1
Curve Equation t 103824bc1 [0,0,0,837,-42390] 1
103824bd (1 curve)	2	2- 3+ 7+ 103+	2- 3+ -4 7+ -3 -4  0  1
Curve Equation t Generators 103824bd1 [0,0,0,93,1570] 1 [9:-56:1]&[-7:24:1]
103824be (1 curve)	1	2- 3+ 7+ 103-	2- 3+  1 7+ -2 -7  4  6
Curve Equation t Generators 103824be1 [0,0,0,15093,-1563462] 1 [1719:71442:1]
103824bf (1 curve)	1	2- 3+ 7+ 103-	2- 3+ -1 7+  2 -7 -4  6
Curve Equation t Generators 103824bf1 [0,0,0,1677,57906] 1 [15:-294:1]
103824bg (2 curves)	1	2- 3+ 7- 103+	2- 3+  2 7- -4  2  6  4
Curve Equation t Generators 103824bg1 [0,0,0,-864,-9585] 2 [1158067:3717350:29791] 103824bg2 [0,0,0,81,-29430] 2 [670118575130:-2518416810325:18948744296]
103824bh (2 curves)	1	2- 3+ 7- 103+	2- 3+ -2 7-  4  2 -6  4
Curve Equation t Generators 103824bh1 [0,0,0,-96,355] 2 [33:182:1] 103824bh2 [0,0,0,9,1090] 2 [258:1495:8]
103824bi (3 curves)	1	2- 3- 7+ 103+	2- 3-  0 7+ -3 -4 -3 -2
Curve Equation t Generators 103824bi1 [0,0,0,3840,299504] 1 [194:5103:8] 103824bi2 [0,0,0,-35040,-8736208] 1 [27842:1639953:8] 103824bi3 [0,0,0,-4484640,-3655450384] 1 [77722034916434:3765503987326809:20525811272]
103824bj (2 curves)	1	2- 3- 7+ 103+	2- 3-  2 7+  0  2  0  4
Curve Equation t Generators 103824bj1 [0,0,0,-8364,294415] 2 [274:1755:8] 103824bj2 [0,0,0,-8679,271042] 2 [30890:180063:1000]
103824bk (2 curves)	1	2- 3- 7+ 103+	2- 3-  2 7+ -2  0  6  2
Curve Equation t Generators 103824bk1 [0,0,0,-5619,21170] 2 [-2:180:1] 103824bk2 [0,0,0,-57459,-5276878] 2 [62756:1899835:64]
103824bl (2 curves)	1	2- 3- 7+ 103+	2- 3-  2 7+ -2 -2  0  0
Curve Equation t Generators 103824bl1 [0,0,0,-5110419,4442629970] 2 [-910:566955:8] 103824bl2 [0,0,0,-3866259,6659971922] 2 [3001:148608:1]
103824bm (2 curves)	1	2- 3- 7+ 103+	2- 3-  2 7+  4 -2  6  0
Curve Equation t Generators 103824bm1 [0,0,0,-2379,65018] 2 [-41:306:1] 103824bm2 [0,0,0,-42699,3395450] 2 [407:7310:1]
103824bn (2 curves)	1	2- 3- 7+ 103+	2- 3-  2 7+  6  2  4  4
Curve Equation t Generators 103824bn1 [0,0,0,-2019,-34270] 2 [553:12960:1] 103824bn2 [0,0,0,141,-103822] 2 [49:144:1]
103824bo (2 curves)	1	2- 3- 7+ 103+	2- 3-  2 7+  6 -4 -6 -2
Curve Equation t Generators 103824bo1 [0,0,0,-821486739,-8869539954350] 2 [-2534660212781021918454028118907154985652095697202:29536720178534100570760673938730006327607618971640:172456907387876896521150398318827933548831169] 103824bo2 [0,0,0,-13065887379,-574852266257582] 2 [-10166071293375542120887766207993724920712008651294877664256976641166515973093004739551455110:-1994981399721023974704839676062500143169366131225521252517958589866958184794791718589609432:153982119293247770420414460325177383387960455882192426589505186440858888291323911002875]
103824bp (1 curve)	1	2- 3- 7+ 103+	2- 3- -3 7+  4 -1  0 -4
Curve Equation t Generators 103824bp1 [0,0,0,-3279,1451914] 1 [302:5292:1]
103824bq (1 curve)	1	2- 3- 7+ 103+	2- 3- -3 7+  4 -1  2  6
Curve Equation t Generators 103824bq1 [0,0,0,-5619,-163406] 1 [191:2394:1]
103824br (1 curve)	1	2- 3- 7+ 103+	2- 3- -4 7+  1 -2 -6 -3
Curve Equation t Generators 103824br1 [0,0,0,-23663307,-44306510470] 1 [689037805:50379870870:79507]
103824bs (1 curve)	1	2- 3- 7+ 103+	2- 3- -4 7+ -5  0  3  2
Curve Equation t Generators 103824bs1 [0,0,0,-17537952,-28269491920] 1 [75898944402132092:4545726168901068531:11185320964544]
103824bt (2 curves)	0	2- 3- 7+ 103-	2- 3-  0 7+ -2 -2 -6  4
Curve Equation t 103824bt1 [0,0,0,139245,35590354] 2 103824bt2 [0,0,0,-1150995,395051218] 2
103824bu (2 curves)	0	2- 3- 7+ 103-	2- 3-  2 7+  2 -4  2  6
Curve Equation t 103824bu1 [0,0,0,-26739,1235250] 2 103824bu2 [0,0,0,-395379,95680818] 2
103824bv (1 curve)	0	2- 3- 7+ 103-	2- 3-  2 7+ -4  5 -4  0
Curve Equation t 103824bv1 [0,0,0,261,-6102] 1
103824bw (4 curves)	0	2- 3- 7+ 103-	2- 3- -2 7+  0 -2  6  4
Curve Equation t 103824bw1 [0,0,0,429,123986] 2 103824bw2 [0,0,0,-34851,2445410] 4 103824bw3 [0,0,0,-80211,-5238574] 2 103824bw4 [0,0,0,-553971,158700530] 2
103824bx (2 curves)	0	2- 3- 7+ 103-	2- 3- -2 7+  6  0 -2 -6
Curve Equation t 103824bx1 [0,0,0,-106851,-13440670] 2 103824bx2 [0,0,0,-119811,-9975166] 2
103824by (2 curves)	0	2- 3- 7- 103+	2- 3-  0 7-  2 -2  2  4
Curve Equation t 103824by1 [0,0,0,-2595,288034] 2 103824by2 [0,0,0,-83235,9206818] 2
103824bz (1 curve)	2	2- 3- 7- 103+	2- 3-  0 7- -5  0  3 -6
Curve Equation t Generators 103824bz1 [0,0,0,-1200,17372] 1 [34:126:1]&[-22:182:1]
103824ca (2 curves)	0	2- 3- 7- 103+	2- 3-  2 7-  4 -4  4 -6
Curve Equation t 103824ca1 [0,0,0,-82659,5098210] 2 103824ca2 [0,0,0,267261,36940930] 2
103824cb (2 curves)	0	2- 3- 7- 103+	2- 3-  2 7- -4  0 -8 -2
Curve Equation t 103824cb1 [0,0,0,-21767619,38679286210] 2 103824cb2 [0,0,0,-4072899,99743764930] 2
103824cc (4 curves)	0	2- 3- 7- 103+	2- 3- -2 7-  0  2  2  8
Curve Equation t 103824cc1 [0,0,0,-3891,-47630] 2 103824cc2 [0,0,0,-29811,1948210] 4 103824cc3 [0,0,0,429,5716114] 2 103824cc4 [0,0,0,-474771,125914066] 2
103824cd (1 curve)	0	2- 3- 7- 103+	2- 3- -2 7-  4 -1  0  4
Curve Equation t 103824cd1 [0,0,0,-2091,-159014] 1
103824ce (1 curve)	0	2- 3- 7- 103+	2- 3- -3 7- -4 -5  2 -2
Curve Equation t 103824ce1 [0,0,0,-143838579,671162168626] 1
103824cf (2 curves)	0	2- 3- 7- 103+	2- 3-  4 7- -2  2  0  4
Curve Equation t 103824cf1 [0,0,0,-222708,-40502765] 2 103824cf2 [0,0,0,-3564543,-2590322870] 2
103824cg (2 curves)	0	2- 3- 7- 103+	2- 3-  4 7- -2  2  6 -8
Curve Equation t 103824cg1 [0,0,0,-83163,15216010] 2 103824cg2 [0,0,0,-1557723,748072330] 2
103824ch (2 curves)	0	2- 3- 7- 103+	2- 3-  4 7- -2 -2 -6 -4
Curve Equation t 103824ch1 [0,0,0,-13683,-1064590] 2 103824ch2 [0,0,0,-260643,-51197470] 2
103824ci (1 curve)	0	2- 3- 7- 103+	2- 3-  4 7-  3  2  2  5
Curve Equation t 103824ci1 [0,0,0,491037,-393102110] 1
103824cj (1 curve)	1	2- 3- 7- 103-	2- 3-  0 7-  3  2  2  1
Curve Equation t Generators 103824cj1 [0,0,0,-20235,2133178] 1 [47:-1134:1]
103824ck (2 curves)	1	2- 3- 7- 103-	2- 3- -2 7-  0  2  0 -4
Curve Equation t Generators 103824ck1 [0,0,0,-1956,11275] 2 [-43:126:1] 103824ck2 [0,0,0,-17391,-874694] 2 [1154:38934:1]
103824cl (1 curve)	1	2- 3- 7- 103-	2- 3-  3 7-  0  3  6 -2
Curve Equation t Generators 103824cl1 [0,0,0,-39171,9328898] 1 [-158:3402:1]

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

Part of Computational Number Theory
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