Cremona's table of elliptic curves

25830 = 2 · 3² · 5 · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
25830a (2 curves)	1	2+ 3+ 5+ 7+ 41+	2+ 3+ 5+ 7+  0 -2 -2  6
Curve Equation t Generators 25830a1 [1,-1,0,-435,-715] 2 [-19:30:1] 25830a2 [1,-1,0,-5355,-149299] 2 [-43:30:1]
25830b (2 curves)	1	2+ 3+ 5+ 7+ 41+	2+ 3+ 5+ 7+  0  6  2  6
Curve Equation t Generators 25830b1 [1,-1,0,-15,-99] 2 [10:21:1] 25830b2 [1,-1,0,-435,-3375] 2 [-12:9:1]
25830c (2 curves)	1	2+ 3+ 5+ 7+ 41+	2+ 3+ 5+ 7+  0  6 -6 -2
Curve Equation t Generators 25830c1 [1,-1,0,-308355,65981825] 2 [268:1459:1] 25830c2 [1,-1,0,-319425,60998111] 2 [227:270:1]
25830d (4 curves)	1	2+ 3+ 5+ 7- 41-	2+ 3+ 5+ 7-  0  2  6  2
Curve Equation t Generators 25830d1 [1,-1,0,16050,-194220] 6 [6081:471234:1] 25830d2 [1,-1,0,-66270,-1527804] 6 [-240:834:1] 25830d3 [1,-1,0,-255165,-51445819] 2 [72637153604106:-1245923491100933:99961946721] 25830d4 [1,-1,0,-4125885,-3224662075] 2 [-884217698:404213809:753571]
25830e (4 curves)	1	2+ 3+ 5+ 7- 41-	2+ 3+ 5+ 7-  0  2 -6  2
Curve Equation t Generators 25830e1 [1,-1,0,-21432390,21847614516] 6 [-193620:28416234:125] 25830e2 [1,-1,0,-153760710,-718370541900] 6 [-5420223955:-24334778801:857375] 25830e3 [1,-1,0,-773873205,-8285085721675] 2 [-34392257281553567410:-41147743137422391463:2148436779117875] 25830e4 [1,-1,0,-12381609525,-530287309579339] 2 [-7348594836682645545164185228230:3681064921379013745820733767561:114387601073303538945063000]
25830f (1 curve)	1	2+ 3+ 5+ 7- 41-	2+ 3+ 5+ 7-  5  2  4 -3
Curve Equation t Generators 25830f1 [1,-1,0,-75,311] 1 [13:31:1]
25830g (2 curves)	0	2+ 3+ 5- 7+ 41+	2+ 3+ 5- 7+  4  6  6 -2
Curve Equation t 25830g1 [1,-1,0,-1419,15813] 2 25830g2 [1,-1,0,-21099,1184805] 2
25830h (4 curves)	0	2+ 3- 5+ 7+ 41+	2+ 3- 5+ 7+  0 -6  2  0
Curve Equation t 25830h1 [1,-1,0,-293805,-60391899] 2 25830h2 [1,-1,0,-581805,77675301] 4 25830h3 [1,-1,0,2042595,583134741] 2 25830h4 [1,-1,0,-7814205,8405060661] 2
25830i (4 curves)	0	2+ 3- 5+ 7+ 41+	2+ 3- 5+ 7+  4  6  2  4
Curve Equation t 25830i1 [1,-1,0,-81180,8741200] 2 25830i2 [1,-1,0,-1291500,565246336] 4 25830i3 [1,-1,0,-1284120,572019700] 2 25830i4 [1,-1,0,-20664000,36160277836] 2
25830j (1 curve)	1	2+ 3- 5+ 7+ 41-	2+ 3- 5+ 7+  1  4 -8  1
Curve Equation t Generators 25830j1 [1,-1,0,-17550,903636] 1 [3:921:1]
25830k (4 curves)	1	2+ 3- 5+ 7+ 41-	2+ 3- 5+ 7+ -4 -6  2 -4
Curve Equation t Generators 25830k1 [1,-1,0,-1327725,-716817195] 2 [46348321062:-3445462110281:8120601] 25830k2 [1,-1,0,-22504545,-41084071479] 4 [-408534759:10365192:148877] 25830k3 [1,-1,0,-23770215,-36203394825] 2 [5514545603340375:-445433969798340528:587427734375] 25830k4 [1,-1,0,-360067995,-2629723144149] 2 [-490538744083899:245191394994012:44776693151]
25830l (4 curves)	1	2+ 3- 5+ 7- 41+	2+ 3- 5+ 7-  0 -6  2  0
Curve Equation t Generators 25830l1 [1,-1,0,-4590,-96044] 2 [-27:101:1] 25830l2 [1,-1,0,-22590,1225156] 4 [152:-1210:1] 25830l3 [1,-1,0,21510,5397016] 2 [47:-2575:1] 25830l4 [1,-1,0,-354690,81394096] 2 [350:14:1]
25830m (4 curves)	1	2+ 3- 5+ 7- 41+	2+ 3- 5+ 7-  4  6 -6  4
Curve Equation t Generators 25830m1 [1,-1,0,-855,-9315] 2 [-17:18:1] 25830m2 [1,-1,0,-1575,9261] 4 [-35:161:1] 25830m3 [1,-1,0,5805,66825] 2 [36:-585:1] 25830m4 [1,-1,0,-20475,1131921] 2 [87:15:1]
25830n (2 curves)	0	2+ 3- 5+ 7- 41-	2+ 3- 5+ 7-  4  6  0 -8
Curve Equation t 25830n1 [1,-1,0,-13860,-621824] 2 25830n2 [1,-1,0,-6480,-1287500] 2
25830o (4 curves)	1	2+ 3- 5- 7+ 41+	2+ 3- 5- 7+  0 -2 -2  4
Curve Equation t Generators 25830o1 [1,-1,0,9036,-72752] 2 [17:284:1] 25830o2 [1,-1,0,-37044,-561200] 4 [-169:1007:1] 25830o3 [1,-1,0,-361044,83095600] 2 [381:667:1] 25830o4 [1,-1,0,-450324,-116031632] 2 [-393:559:1]
25830p (1 curve)	1	2+ 3- 5- 7+ 41+	2+ 3- 5- 7+  1  0 -4 -5
Curve Equation t Generators 25830p1 [1,-1,0,-310059,66534565] 1 [341:437:1]
25830q (2 curves)	0	2+ 3- 5- 7+ 41-	2+ 3- 5- 7+  6  0  8 -6
Curve Equation t 25830q1 [1,-1,0,-398702169,3064325749933] 2 25830q2 [1,-1,0,-396452169,3100618699933] 2
25830r (2 curves)	0	2+ 3- 5- 7- 41+	2+ 3- 5- 7-  3 -4  0 -7
Curve Equation t 25830r1 [1,-1,0,1188756,-1587178800] 1 25830r2 [1,-1,0,-10855404,46482197328] 3
25830s (1 curve)	1	2+ 3- 5- 7- 41-	2+ 3- 5- 7-  3  0  0 -1
Curve Equation t Generators 25830s1 [1,-1,0,-54,26428] 1 [-13:-151:1]
25830t (2 curves)	1	2- 3+ 5+ 7+ 41-	2- 3+ 5+ 7+ -4  6 -6 -2
Curve Equation t Generators 25830t1 [1,-1,1,-12773,-414179] 2 [-89:152:1] 25830t2 [1,-1,1,-189893,-31799843] 2 [-253:152:1]
25830u (2 curves)	0	2- 3+ 5- 7+ 41-	2- 3+ 5- 7+  0 -2  2  6
Curve Equation t 25830u1 [1,-1,1,-3917,23221] 2 25830u2 [1,-1,1,-48197,4079269] 2
25830v (2 curves)	0	2- 3+ 5- 7+ 41-	2- 3+ 5- 7+  0  6 -2  6
Curve Equation t 25830v1 [1,-1,1,-137,2809] 2 25830v2 [1,-1,1,-3917,95041] 2
25830w (2 curves)	0	2- 3+ 5- 7+ 41-	2- 3+ 5- 7+  0  6  6 -2
Curve Equation t 25830w1 [1,-1,1,-34262,-2432351] 2 25830w2 [1,-1,1,-35492,-2247359] 2
25830x (4 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7-  0  2  6  2
Curve Equation t 25830x1 [1,-1,1,-85985912,306883688699] 6 25830x2 [1,-1,1,-1375734392,19640729303291] 6 25830x3 [1,-1,1,-192891512,-589692700421] 2 25830x4 [1,-1,1,-1383846392,19397388477691] 2
25830y (4 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7-  0  2 -6  2
Curve Equation t 25830y1 [1,-1,1,-28352,1914851] 6 25830y2 [1,-1,1,-458432,119584739] 6 25830y3 [1,-1,1,144448,5099491] 2 25830y4 [1,-1,1,-596432,41847139] 2
25830z (1 curve)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7- -5  2 -4 -3
Curve Equation t 25830z1 [1,-1,1,-677,-7721] 1
25830ba (4 curves)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+  4 -2 -2 -4
Curve Equation t Generators 25830ba1 [1,-1,1,-1185413,-456382083] 2 [-705:5696:1] 25830ba2 [1,-1,1,-4134533,2720409981] 4 [-1977:57240:1] 25830ba3 [1,-1,1,7719547,15442208637] 2 [-1113:74520:1] 25830ba4 [1,-1,1,-63174533,193277913981] 2 [4631:1896:1]
25830bb (2 curves)	0	2- 3- 5+ 7+ 41-	2- 3- 5+ 7+  0  2  0 -4
Curve Equation t 25830bb1 [1,-1,1,-46822073,122522213081] 2 25830bb2 [1,-1,1,-16593593,278537444057] 2
25830bc (1 curve)	0	2- 3- 5+ 7+ 41-	2- 3- 5+ 7+  3  4  4  7
Curve Equation t 25830bc1 [1,-1,1,-5693,258207] 1
25830bd (2 curves)	0	2- 3- 5- 7+ 41+	2- 3- 5- 7+  4 -2  4  4
Curve Equation t 25830bd1 [1,-1,1,-97682,3188369] 2 25830bd2 [1,-1,1,374638,24726161] 2
25830be (2 curves)	0	2- 3- 5- 7+ 41+	2- 3- 5- 7+  4 -2  4 -8
Curve Equation t 25830be1 [1,-1,1,-347,-2329] 2 25830be2 [1,-1,1,103,-8269] 2
25830bf (4 curves)	1	2- 3- 5- 7+ 41-	2- 3- 5- 7+  4 -2 -6  0
Curve Equation t Generators 25830bf1 [1,-1,1,-378977,89076129] 4 [-343:13536:1] 25830bf2 [1,-1,1,-681557,-72985719] 4 [-2922:91657:8] 25830bf3 [1,-1,1,2547193,-567630219] 2 [17238:968617:8] 25830bf4 [1,-1,1,-8751587,-9953930451] 2 [14179472:136376541:4096]
25830bg (1 curve)	1	2- 3- 5- 7+ 41-	2- 3- 5- 7+ -5  4  0  3
Curve Equation t Generators 25830bg1 [1,-1,1,8608,300291] 1 [-19:-351:1]
25830bh (2 curves)	1	2- 3- 5- 7+ 41-	2- 3- 5- 7+ -6  0  0 -2
Curve Equation t Generators 25830bh1 [1,-1,1,-317,1909] 2 [-11:68:1] 25830bh2 [1,-1,1,583,10189] 2 [-1:98:1]
25830bi (4 curves)	1	2- 3- 5- 7- 41+	2- 3- 5- 7-  0  2  0 -4
Curve Equation t Generators 25830bi1 [1,-1,1,-633092,-193728409] 2 [999:12541:1] 25830bi2 [1,-1,1,-631292,-194886169] 2 [728091:9144089:729] 25830bi3 [1,-1,1,-712427,-142049221] 6 [-713:2106:1] 25830bi4 [1,-1,1,2167573,-1002593221] 6 [439:5562:1]
25830bj (4 curves)	0	2- 3- 5- 7- 41-	2- 3- 5- 7- -4 -2 -6  0
Curve Equation t 25830bj1 [1,-1,1,6988,-35049] 4 25830bj2 [1,-1,1,-28292,-260841] 4 25830bj3 [1,-1,1,-286592,58838199] 2 25830bj4 [1,-1,1,-334472,-74233929] 2
25830bk (2 curves)	0	2- 3- 5- 7- 41-	2- 3- 5- 7-  6  4  0 -6
Curve Equation t 25830bk1 [1,-1,1,-30272,-2019229] 2 25830bk2 [1,-1,1,-26672,-2520349] 2
25830bl (4 curves)	0	2- 3- 5- 7- 41-	2- 3- 5- 7- -6 -4  6  2
Curve Equation t 25830bl1 [1,-1,1,-904577,-330917299] 2 25830bl2 [1,-1,1,-906827,-329186599] 2 25830bl3 [1,-1,1,-1008212,-250312201] 6 25830bl4 [1,-1,1,-6633212,6391687799] 6

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