Cremona's table of elliptic curves

10830 = 2 · 3 · 5 · 19²

Class	r	Atkin-Lehner	Eigenvalues
10830a (2 curves)	1	2+ 3+ 5+ 19+	2+ 3+ 5+ -2  0  2 -2 19+
Curve Equation t Generators 10830a1 [1,1,0,-527428,-204088112] 2 [157597656:17829310484:12167] 10830a2 [1,1,0,-9306948,-10930905648] 2 [51816:11748252:1]
10830b (1 curve)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -1  2  3  4 19-
Curve Equation t 10830b1 [1,1,0,-5118,-144012] 1
10830c (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+ -1 -3 -2 -6 19-
Curve Equation t 10830c1 [1,1,0,192767,96438973] 1 10830c2 [1,1,0,-11536123,15092997727] 1
10830d (2 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  2 -4 -6  4 19-
Curve Equation t 10830d1 [1,1,0,-525623,147130593] 2 10830d2 [1,1,0,-8420693,9401731647] 2
10830e (4 curves)	0	2+ 3+ 5+ 19-	2+ 3+ 5+  2  6  4 -6 19-
Curve Equation t 10830e1 [1,1,0,-9339438,-11090483532] 2 10830e2 [1,1,0,-149811758,-705838483788] 2 10830e3 [1,1,0,30861522,-57697813068] 2 10830e4 [1,1,0,-167226398,-531563735292] 2
10830f (1 curve)	0	2+ 3+ 5- 19+	2+ 3+ 5- -5  1  6  4 19+
Curve Equation t 10830f1 [1,1,0,-1117302,-458611884] 1
10830g (4 curves)	1	2+ 3+ 5- 19-	2+ 3+ 5- -2  2 -4 -2 19-
Curve Equation t Generators 10830g1 [1,1,0,3369928,5064449856] 2 [2992:203304:1] 10830g2 [1,1,0,-31748152,59307836224] 2 [688:194056:1] 10830g3 [1,1,0,-1191828872,15836364428016] 2 [9119975480:-9713668028:456533] 10830g4 [1,1,0,-19069263652,1013550971091124] 2 [27345640:-13983614:343]
10830h (4 curves)	1	2+ 3+ 5- 19-	2+ 3+ 5-  4 -4  2 -2 19-
Curve Equation t Generators 10830h1 [1,1,0,-3617,-144411] 2 [3670:76141:8] 10830h2 [1,1,0,-68597,-6941319] 4 [1382:49709:1] 10830h3 [1,1,0,-1097447,-442967949] 2 [339666:8796047:216] 10830h4 [1,1,0,-79427,-4617201] 2 [-586:7513:8]
10830i (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+ -1  6  5  0 19+
Curve Equation t 10830i1 [1,0,1,-13004,656102] 3 10830i2 [1,0,1,89881,-3212374] 1
10830j (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+  2  0  2 -6 19+
Curve Equation t 10830j1 [1,0,1,-81594,9229852] 2 10830j2 [1,0,1,-1316214,581105836] 2
10830k (2 curves)	0	2+ 3- 5+ 19+	2+ 3- 5+ -4  6 -4  6 19+
Curve Equation t 10830k1 [1,0,1,-2364,-2438] 2 10830k2 [1,0,1,-26684,-1675654] 2
10830l (4 curves)	1	2+ 3- 5+ 19-	2+ 3- 5+  0  4 -2  2 19-
Curve Equation t Generators 10830l1 [1,0,1,-11199,-454334] 2 [619:14852:1] 10830l2 [1,0,1,-18419,201242] 4 [-87:1114:1] 10830l3 [1,0,1,-224189,40779086] 2 [18228:370066:27] 10830l4 [1,0,1,71831,1609142] 2 [676:18614:1]
10830m (1 curve)	1	2+ 3- 5+ 19-	2+ 3- 5+  3  1 -2  2 19-
Curve Equation t Generators 10830m1 [1,0,1,11,32] 1 [-2:2:1]
10830n (2 curves)	1	2+ 3- 5- 19+	2+ 3- 5-  0  2  4 -2 19+
Curve Equation t Generators 10830n1 [1,0,1,-293,1856] 2 [15:22:1] 10830n2 [1,0,1,-673,-4072] 2 [-11:50:1]
10830o (2 curves)	0	2+ 3- 5- 19-	2+ 3- 5- -2  0 -6  8 19-
Curve Equation t 10830o1 [1,0,1,-8,19298] 2 10830o2 [1,0,1,-10838,426506] 2
10830p (4 curves)	0	2+ 3- 5- 19-	2+ 3- 5-  4  0  6  2 19-
Curve Equation t 10830p1 [1,0,1,-685908,-228577454] 2 10830p2 [1,0,1,-11111588,-14257372462] 4 10830p3 [1,0,1,-177785288,-912428607022] 2 10830p4 [1,0,1,-11248768,-13887315694] 4
10830q (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+  2  0 -2 -6 19+
Curve Equation t 10830q1 [1,1,1,-226,-1441] 2 10830q2 [1,1,1,-3646,-86257] 2
10830r (1 curve)	0	2- 3+ 5+ 19+	2- 3+ 5+  3  1  2  2 19+
Curve Equation t 10830r1 [1,1,1,4144,-212911] 1
10830s (2 curves)	0	2- 3+ 5+ 19+	2- 3+ 5+ -4  6  4  6 19+
Curve Equation t 10830s1 [1,1,1,-853231,15014069] 2 10830s2 [1,1,1,-9632751,11474043573] 2
10830t (2 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+ -1  6 -5  0 19-
Curve Equation t Generators 10830t1 [1,1,1,-36,-111] 1 [9:15:1] 10830t2 [1,1,1,249,573] 1 [21:114:1]
10830u (4 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+  4  0 -2 -2 19-
Curve Equation t Generators 10830u1 [1,1,1,1327209,3532664493] 2 [663:68258:1] 10830u2 [1,1,1,-28245911,54717820589] 4 [-5121:257710:1] 10830u3 [1,1,1,-84388631,-230419825747] 2 [-172923:5964698:27] 10830u4 [1,1,1,-445273111,3616296919469] 2 [27435401:-7526522142:343]
10830v (8 curves)	1	2- 3+ 5+ 19-	2- 3+ 5+ -4  0 -2  6 19-
Curve Equation t Generators 10830v1 [1,1,1,534,-14361] 2 [321:5615:1] 10830v2 [1,1,1,-6686,-193417] 4 [2606:44179:8] 10830v3 [1,1,1,-4881,427503] 2 [-21:732:1] 10830v4 [1,1,1,-104156,-12981481] 2 [1123682:9424213:2744] 10830v5 [1,1,1,-24736,1279463] 2 [1954494:31370491:5832] 10830v6 [1,1,1,-120401,15999599] 4 [99:2200:1] 10830v7 [1,1,1,-163721,3402143] 2 [397:884:1] 10830v8 [1,1,1,-1925401,1027521599] 2 [821:588:1]
10830w (2 curves)	1	2- 3+ 5- 19+	2- 3+ 5-  0  2 -4 -2 19+
Curve Equation t Generators 10830w1 [1,1,1,-105600,-12943215] 2 [121774:14960319:8] 10830w2 [1,1,1,-242780,27442577] 2 [117:751:1]
10830x (4 curves)	0	2- 3+ 5- 19-	2- 3+ 5-  2  0 -2  0 19-
Curve Equation t 10830x1 [1,1,1,-8130,-3488625] 2 10830x2 [1,1,1,-398010,-96124113] 2 10830x3 [1,1,1,73095,93591495] 2 10830x4 [1,1,1,-2699385,1647289287] 2
10830y (4 curves)	0	2- 3+ 5- 19-	2- 3+ 5- -4 -4  6 -6 19-
Curve Equation t 10830y1 [1,1,1,4505,103325] 4 10830y2 [1,1,1,-24375,923517] 4 10830y3 [1,1,1,-161555,-24372475] 2 10830y4 [1,1,1,-349275,79289397] 2
10830z (1 curve)	1	2- 3- 5+ 19+	2- 3- 5+ -1  2 -3  4 19+
Curve Equation t Generators 10830z1 [1,0,0,-1847786,972996516] 1 [2196:85542:1]
10830ba (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+ -1 -3  2 -6 19+
Curve Equation t Generators 10830ba1 [1,0,0,534,-14004] 3 [18:30:1] 10830ba2 [1,0,0,-31956,-2203830] 1 [2310:27315:8]
10830bb (2 curves)	1	2- 3- 5+ 19+	2- 3- 5+ -2  0 -2 -2 19+
Curve Equation t Generators 10830bb1 [1,0,0,-1461,29601] 2 [18:87:1] 10830bb2 [1,0,0,-25781,1590945] 2 [58:511:1]
10830bc (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+  2 -6  0  2 19-
Curve Equation t 10830bc1 [1,0,0,-35566,-2835580] 2 10830bc2 [1,0,0,-584286,-171951084] 2
10830bd (2 curves)	0	2- 3- 5+ 19-	2- 3- 5+ -2  4  6  4 19-
Curve Equation t 10830bd1 [1,0,0,-28346,6440676] 2 10830bd2 [1,0,0,-721466,235308900] 2
10830be (2 curves)	1	2- 3- 5- 19-	2- 3- 5- -2 -2  0 -2 19-
Curve Equation t Generators 10830be1 [1,0,0,-6325,-523375] 2 [1190:10235:8] 10830be2 [1,0,0,-143505,-20908323] 2 [2994:160953:1]
10830bf (1 curve)	1	2- 3- 5- 19-	2- 3- 5- -5  1 -6  4 19-
Curve Equation t Generators 10830bf1 [1,0,0,-3095,66537] 1 [34:-47:1]

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