Cremona's table of elliptic curves

28830 = 2 · 3 · 5 · 31²

Class	r	Atkin-Lehner	Eigenvalues
28830a (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+  3 -1  0  2  2
Curve Equation t Generators 28830a1 [1,1,0,4047232,-914723328] 1 [167134090634489:-14619774061749432:23862997439]
28830b (1 curve)	1	2+ 3+ 5+ 31+	2+ 3+ 5+ -3 -3  4 -4  0
Curve Equation t Generators 28830b1 [1,1,0,-123508,51696712] 1 [1278:47411:8]
28830c (1 curve)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  1 -5 -2  4  1
Curve Equation t 28830c1 [1,1,0,-9995119328,-398572245715968] 1
28830d (2 curves)	2	2+ 3+ 5+ 31-	2+ 3+ 5+ -1  3 -2 -6  2
Curve Equation t Generators 28830d1 [1,1,0,27,27] 1 [-1:1:1]&[1:7:1] 28830d2 [1,1,0,-438,3468] 1 [-194:287:8]&[-1:63:1]
28830e (2 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+ -2  4 -2  0  0
Curve Equation t 28830e1 [1,1,0,-6826483,-6867114083] 2 28830e2 [1,1,0,-7422303,-5598136647] 2
28830f (1 curve)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  3 -1 -2  0 -5
Curve Equation t 28830f1 [1,1,0,802,-6948] 1
28830g (4 curves)	0	2+ 3+ 5+ 31-	2+ 3+ 5+  4  4 -2 -2  4
Curve Equation t 28830g1 [1,1,0,-234023,-43668123] 2 28830g2 [1,1,0,-253243,-36099287] 4 28830g3 [1,1,0,640487,-232898633] 2 28830g4 [1,1,0,-1454493,645489963] 2
28830h (8 curves)	2	2+ 3+ 5+ 31-	2+ 3+ 5+ -4  0 -2 -6 -4
Curve Equation t Generators 28830h1 [1,1,0,1422,-62748] 2 [59:-510:1]&[284:4690:1] 28830h2 [1,1,0,-17798,-835392] 4 [-91:248:1]&[-706:2275:8] 28830h3 [1,1,0,-12993,1860213] 2 [-94:1551:1]&[286:9467:8] 28830h4 [1,1,0,-65848,5574478] 2 [-189:3458:1]&[-3:2404:1] 28830h5 [1,1,0,-277268,-56310078] 2 [-2434:1411:8]&[1857:75471:1] 28830h6 [1,1,0,-320513,69576117] 4 [-623:5597:1]&[-529:9827:1] 28830h7 [1,1,0,-5125513,4464229117] 2 [1237:3706:1]&[1739309:-874150:1331] 28830h8 [1,1,0,-435833,14891373] 2 [-647:5477:1]&[-437:11270:1]
28830i (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5- -1  3 -2  0  5
Curve Equation t Generators 28830i1 [1,1,0,2383,655119] 1 [-65:513:1] 28830i2 [1,1,0,-502142,136775964] 1 [-1450:119889:8]
28830j (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5- -2  4  4 -2 -8
Curve Equation t Generators 28830j1 [1,1,0,449248,44001024] 2 [-32:5456:1] 28830j2 [1,1,0,-1934032,361930576] 2 [-1328:24964:1]
28830k (2 curves)	1	2+ 3+ 5- 31-	2+ 3+ 5-  4 -2 -2  0  0
Curve Equation t Generators 28830k1 [1,1,0,-13115267,-18313331379] 2 [3090408052673544470:256700695890307116917:354188598847777] 28830k2 [1,1,0,-209928067,-1170809725619] 2 [900994934309972465928615735881585:-34713191575591593872004192010183993:51813615764937449960371100267]
28830l (2 curves)	0	2+ 3- 5+ 31+	2+ 3- 5+ -1 -3  2  6  2
Curve Equation t 28830l1 [1,0,1,25446,-471398] 3 28830l2 [1,0,1,-421419,-108791474] 1
28830m (4 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+  0  4 -6 -2 -4
Curve Equation t Generators 28830m1 [1,0,1,-104289,11516116] 2 [1942:4791:8] 28830m2 [1,0,1,-411809,-89719468] 4 [891:15394:1] 28830m3 [1,0,1,626071,-468753244] 2 [45492:1149547:64] 28830m4 [1,0,1,-6370009,-6188532988] 2 [-124179748:90061393:85184]
28830n (2 curves)	1	2+ 3- 5+ 31-	2+ 3- 5+ -2 -4  2  0  0
Curve Equation t Generators 28830n1 [1,0,1,-7104,229822] 2 [53:-81:1] 28830n2 [1,0,1,-7724,187166] 2 [3:-407:1]
28830o (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+  3  1  0 -2  2
Curve Equation t Generators 28830o1 [1,0,1,4211,31112] 1 [278:3607:8]
28830p (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+  3  1  2  0 -5
Curve Equation t Generators 28830p1 [1,0,1,770221,217002902] 1 [336755749081126:-16493125891036800:179310732119]
28830q (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+ -3  3 -4  4  0
Curve Equation t Generators 28830q1 [1,0,1,-129,-1748] 1 [26:-126:1]
28830r (1 curve)	1	2+ 3- 5+ 31-	2+ 3- 5+ -3 -3  2  4 -3
Curve Equation t Generators 28830r1 [1,0,1,-195584,37588046] 1 [1196:38322:1]
28830s (2 curves)	0	2+ 3- 5- 31-	2+ 3- 5-  2  4  4  6  0
Curve Equation t 28830s1 [1,0,1,2150217,-5371246694] 2 28830s2 [1,0,1,-35982263,-77502645862] 2
28830t (1 curve)	0	2+ 3- 5- 31-	2+ 3- 5-  3 -3  2 -8 -7
Curve Equation t 28830t1 [1,0,1,93677,-6049042] 1
28830u (2 curves)	0	2+ 3- 5- 31-	2+ 3- 5- -4 -2 -2  0  0
Curve Equation t 28830u1 [1,0,1,2382,-234992] 2 28830u2 [1,0,1,-45668,-3540832] 2
28830v (2 curves)	2	2- 3+ 5+ 31+	2- 3+ 5+ -3 -3 -2 -4  0
Curve Equation t Generators 28830v1 [1,1,1,-53836,4820333] 1 [-251:1737:1]&[121:249:1] 28830v2 [1,1,1,-246036,-480200211] 1 [2108892:54647815:1728]&[2031:85025:1]
28830w (1 curve)	0	2- 3+ 5+ 31+	2- 3+ 5+ -3  5  6  8 -4
Curve Equation t 28830w1 [1,1,1,-3921861,-3073118517] 1
28830x (2 curves)	0	2- 3+ 5+ 31+	2- 3+ 5+  4 -3 -2  3  0
Curve Equation t 28830x1 [1,1,1,-49031,4589693] 1 28830x2 [1,1,1,-1538581,-1102563031] 1
28830y (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  0 -4  4  0  4
Curve Equation t Generators 28830y1 [1,1,1,-409096,-104415607] 2 [773:6093:1] 28830y2 [1,1,1,-6609096,-6542495607] 2 [39523:-7860157:1]
28830z (4 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+  2  0  4 -6  8
Curve Equation t Generators 28830z1 [1,1,1,1334809,666526493] 2 [6982:396281:8] 28830z2 [1,1,1,-8198311,6489356189] 2 [-437:100162:1] 28830z3 [1,1,1,-38104631,91060892669] 2 [2326373293244455:-16411309399204082:646092936125] 28830z4 [1,1,1,-610687651,5808416863973] 2 [595052465:-3726551352:42875]
28830ba (2 curves)	1	2- 3+ 5+ 31-	2- 3+ 5+ -4  4  0  0 -4
Curve Equation t Generators 28830ba1 [1,1,1,104,329] 2 [-1:15:1] 28830ba2 [1,1,1,-516,2313] 2 [-3:63:1]
28830bb (1 curve)	1	2- 3+ 5+ 31-	2- 3+ 5+  5  1 -6  0 -1
Curve Equation t Generators 28830bb1 [1,1,1,-3028131,2027398593] 1 [-561:59862:1]
28830bc (1 curve)	0	2- 3+ 5- 31-	2- 3+ 5-  0  1  6  1  4
Curve Equation t 28830bc1 [1,1,1,-175,23765] 1
28830bd (6 curves)	0	2- 3+ 5- 31-	2- 3+ 5-  0  4 -6 -2  4
Curve Equation t 28830bd1 [1,1,1,57640,30202265] 4 28830bd2 [1,1,1,-1172440,461222297] 4 28830bd3 [1,1,1,-3555720,-2013575655] 2 28830bd4 [1,1,1,-18470440,30545903897] 4 28830bd5 [1,1,1,-18182140,31545958937] 2 28830bd6 [1,1,1,-295526740,1955311431257] 2
28830be (1 curve)	0	2- 3+ 5- 31-	2- 3+ 5- -1 -5 -4  2 -2
Curve Equation t 28830be1 [1,1,1,-640,-6553] 1
28830bf (2 curves)	0	2- 3+ 5- 31-	2- 3+ 5-  2  4  2  4  0
Curve Equation t 28830bf1 [1,1,1,-2655,-53115] 2 28830bf2 [1,1,1,-42335,-3370363] 2
28830bg (1 curve)	0	2- 3+ 5- 31-	2- 3+ 5-  5  1 -4 -4  4
Curve Equation t 28830bg1 [1,1,1,-13872055,21595676525] 1
28830bh (1 curve)	0	2- 3+ 5- 31-	2- 3+ 5- -5 -3  2  4  7
Curve Equation t 28830bh1 [1,1,1,-164018695,1201626719645] 1
28830bi (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0  4 -4  0  4
Curve Equation t 28830bi1 [1,0,0,-393141276,3105534506256] 2 28830bi2 [1,0,0,-6351341276,194824919186256] 2
28830bj (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  0  6  2  4  0
Curve Equation t 28830bj1 [1,0,0,37459,-680175] 2 28830bj2 [1,0,0,-154741,-5562055] 2
28830bk (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+ -2  0 -4 -6  0
Curve Equation t 28830bk1 [1,0,0,-39421,3086945] 2 28830bk2 [1,0,0,-635241,194821821] 2
28830bl (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+  3 -5  6  4  5
Curve Equation t 28830bl1 [1,0,0,-22152031,-40340461855] 1
28830bm (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+ -3  3  2  4  0
Curve Equation t 28830bm1 [1,0,0,-51736416,-144275119104] 1 28830bm2 [1,0,0,-236440616,14302570752600] 1
28830bn (1 curve)	2	2- 3- 5+ 31-	2- 3- 5+ -3 -5 -6 -8 -4
Curve Equation t Generators 28830bn1 [1,0,0,-4081,102761] 1 [146:-1693:1]&[38:35:1]
28830bo (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+  4  3  2 -3  0
Curve Equation t 28830bo1 [1,0,0,-51,-159] 1 28830bo2 [1,0,0,-1601,36855] 1
28830bp (2 curves)	0	2- 3- 5+ 31-	2- 3- 5+ -4 -4  0  0 -4
Curve Equation t 28830bp1 [1,0,0,99924,-8507520] 2 28830bp2 [1,0,0,-495896,-75358524] 2
28830bq (1 curve)	0	2- 3- 5+ 31-	2- 3- 5+  5 -1  6  0 -1
Curve Equation t 28830bq1 [1,0,0,-3151,-68359] 1
28830br (1 curve)	0	2- 3- 5- 31+	2- 3- 5-  0 -1 -6 -1  4
Curve Equation t 28830br1 [1,0,0,-168195,-710174943] 1
28830bs (1 curve)	0	2- 3- 5- 31+	2- 3- 5- -1  5  4 -2 -2
Curve Equation t 28830bs1 [1,0,0,-615060,187219350] 1
28830bt (1 curve)	0	2- 3- 5- 31+	2- 3- 5-  5 -1  4  4  4
Curve Equation t 28830bt1 [1,0,0,-14435,-726303] 1
28830bu (2 curves)	1	2- 3- 5- 31-	2- 3- 5-  2 -4 -2 -4  0
Curve Equation t Generators 28830bu1 [1,0,0,-2551475,1549174497] 2 [-942:56301:1] 28830bu2 [1,0,0,-40683955,99877587425] 2 [-3764:448747:1]
28830bv (1 curve)	1	2- 3- 5- 31-	2- 3- 5- -5  3 -2 -4  7
Curve Equation t Generators 28830bv1 [1,0,0,-170675,-40351743] 1 [3304:186673:1]

Data from Elliptic Curve Data by J. E. Cremona.
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