Cremona's table of elliptic curves

12240 = 2⁴ · 3² · 5 · 17

Class	r	Atkin-Lehner	Eigenvalues
12240a (1 curve)	1	2+ 3+ 5+ 17+	2+ 3+ 5+ -3 -5  0 17+  5
Curve Equation t Generators 12240a1 [0,0,0,-243,1917] 1 [12:27:1]
12240b (2 curves)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  0  2  6 17-  8
Curve Equation t 12240b1 [0,0,0,57,742] 2 12240b2 [0,0,0,-963,10738] 2
12240c (1 curve)	0	2+ 3+ 5+ 17-	2+ 3+ 5+  3  3  4 17-  1
Curve Equation t 12240c1 [0,0,0,-4023,-121743] 1
12240d (2 curves)	0	2+ 3+ 5- 17+	2+ 3+ 5-  0 -2  6 17+  8
Curve Equation t 12240d1 [0,0,0,513,-20034] 2 12240d2 [0,0,0,-8667,-289926] 2
12240e (1 curve)	0	2+ 3+ 5- 17+	2+ 3+ 5-  3 -3  4 17+  1
Curve Equation t 12240e1 [0,0,0,-447,4509] 1
12240f (1 curve)	1	2+ 3+ 5- 17-	2+ 3+ 5- -3  5  0 17-  5
Curve Equation t Generators 12240f1 [0,0,0,-27,-71] 1 [8:15:1]
12240g (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  0  0 -2 17+  4
Curve Equation t 12240g1 [0,0,0,-20658,1142827] 2 12240g2 [0,0,0,-20703,1137598] 4 12240g3 [0,0,0,-36003,-768782] 2 12240g4 [0,0,0,-6123,2709322] 2
12240h (2 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+ -2 -2  2 17+ -8
Curve Equation t 12240h1 [0,0,0,-31863,-2189162] 2 12240h2 [0,0,0,-31683,-2215118] 2
12240i (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+ -2  4 -1 17+  1
Curve Equation t 12240i1 [0,0,0,-3,-542] 1
12240j (2 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+ -2  4  4 17+  4
Curve Equation t 12240j1 [0,0,0,717,-11518] 2 12240j2 [0,0,0,-5403,-122902] 2
12240k (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  3 -1 -6 17+  1
Curve Equation t 12240k1 [0,0,0,-25563,2234513] 1
12240l (1 curve)	0	2+ 3- 5+ 17+	2+ 3- 5+  3 -3  4 17+  1
Curve Equation t 12240l1 [0,0,0,-3,-83] 1
12240m (4 curves)	0	2+ 3- 5+ 17+	2+ 3- 5+  4  4  2 17+  4
Curve Equation t 12240m1 [0,0,0,-3063,95542] 2 12240m2 [0,0,0,-55083,4975018] 4 12240m3 [0,0,0,-61203,3801202] 2 12240m4 [0,0,0,-881283,318435298] 2
12240n (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+  1 -3 -4 17-  5
Curve Equation t Generators 12240n1 [0,0,0,-1983,34193] 1 [16:81:1]
12240o (2 curves)	1	2+ 3- 5+ 17-	2+ 3- 5+  2  0  0 17- -4
Curve Equation t Generators 12240o1 [0,0,0,-363,3818] 2 [11:34:1] 12240o2 [0,0,0,-6483,200882] 2 [37:108:1]
12240p (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+ -3 -1 -6 17-  5
Curve Equation t Generators 12240p1 [0,0,0,177,853] 1 [-4:9:1]
12240q (1 curve)	1	2+ 3- 5+ 17-	2+ 3- 5+ -3  5  0 17-  1
Curve Equation t Generators 12240q1 [0,0,0,-859323,-306607687] 1 [32152:5762745:1]
12240r (4 curves)	1	2+ 3- 5- 17+	2+ 3- 5-  0  0 -2 17+  4
Curve Equation t Generators 12240r1 [0,0,0,-1287,17766] 2 [22:10:1] 12240r2 [0,0,0,-1467,12474] 4 [-27:180:1] 12240r3 [0,0,0,-10467,-403326] 2 [-57:90:1] 12240r4 [0,0,0,4653,89586] 2 [7:350:1]
12240s (1 curve)	1	2+ 3- 5- 17+	2+ 3- 5-  1 -5  4 17+  1
Curve Equation t Generators 12240s1 [0,0,0,18933,3078101] 1 [-68:1215:1]
12240t (4 curves)	0	2+ 3- 5- 17-	2+ 3- 5-  0  0 -2 17- -4
Curve Equation t 12240t1 [0,0,0,-282,1771] 2 12240t2 [0,0,0,-687,-4466] 4 12240t3 [0,0,0,-9867,-377174] 2 12240t4 [0,0,0,2013,-30926] 4
12240u (4 curves)	0	2+ 3- 5- 17-	2+ 3- 5-  0 -4 -2 17- -4
Curve Equation t 12240u1 [0,0,0,78,-889] 2 12240u2 [0,0,0,-1047,-11914] 4 12240u3 [0,0,0,-16347,-804454] 2 12240u4 [0,0,0,-3747,75026] 4
12240v (4 curves)	0	2+ 3- 5- 17-	2+ 3- 5-  0 -4  6 17- -4
Curve Equation t 12240v1 [0,0,0,-8562,249991] 2 12240v2 [0,0,0,-41367,-3010826] 4 12240v3 [0,0,0,-648867,-201177326] 2 12240v4 [0,0,0,41253,-13536614] 4
12240w (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5- -1  5  2 17-  1
Curve Equation t 12240w1 [0,0,0,-147,-691] 1
12240x (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5-  3  3  4 17-  5
Curve Equation t 12240x1 [0,0,0,68793,-34309631] 1
12240y (1 curve)	0	2+ 3- 5- 17-	2+ 3- 5-  3  5 -2 17-  5
Curve Equation t 12240y1 [0,0,0,-4647,136109] 1
12240z (4 curves)	0	2+ 3- 5- 17-	2+ 3- 5-  4  0  2 17- -4
Curve Equation t 12240z1 [0,0,0,-182127,908139854] 2 12240z2 [0,0,0,-15215907,22607897906] 4 12240z3 [0,0,0,-28220907,-21762561094] 2 12240z4 [0,0,0,-242751387,1455762872234] 4
12240ba (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  2 -2  0 17+ -4
Curve Equation t 12240ba1 [0,0,0,-144843,22772858] 2 12240ba2 [0,0,0,-2364363,1399319162] 2
12240bb (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+ -4  4  6 17+ -4
Curve Equation t 12240bb1 [0,0,0,12,-13] 2 12240bb2 [0,0,0,-63,-118] 2
12240bc (1 curve)	1	2- 3+ 5+ 17-	2- 3+ 5+  1  1  0 17-  3
Curve Equation t Generators 12240bc1 [0,0,0,27,243] 1 [18:81:1]
12240bd (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+  1 -3 -4 17- -5
Curve Equation t Generators 12240bd1 [0,0,0,-2493,-47917] 1 [58:51:1] 12240bd2 [0,0,0,567,-155493] 1 [6330:6939:125]
12240be (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+  4 -2 -6 17-  0
Curve Equation t Generators 12240be1 [0,0,0,-11043,6583842] 2 [279:5022:1] 12240be2 [0,0,0,-598563,176847138] 2 [14061:68138:27]
12240bf (2 curves)	1	2- 3+ 5+ 17-	2- 3+ 5+ -4 -2  2 17-  0
Curve Equation t Generators 12240bf1 [0,0,0,-2403,-48222] 2 [111:1026:1] 12240bf2 [0,0,0,-39123,-2978478] 2 [247:1558:1]
12240bg (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  1 -1  0 17+  3
Curve Equation t Generators 12240bg1 [0,0,0,3,-9] 1 [6:15:1]
12240bh (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  1  3 -4 17+ -5
Curve Equation t Generators 12240bh1 [0,0,0,63,5759] 1 [-2:75:1] 12240bh2 [0,0,0,-22437,1293759] 1 [78:135:1]
12240bi (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  4  2 -6 17+  0
Curve Equation t Generators 12240bi1 [0,0,0,-1227,-243846] 2 [103:850:1] 12240bi2 [0,0,0,-66507,-6549894] 2 [-153:210:1]
12240bj (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5- -4  2  2 17+  0
Curve Equation t Generators 12240bj1 [0,0,0,-267,1786] 2 [5:24:1] 12240bj2 [0,0,0,-4347,110314] 2 [23:150:1]
12240bk (2 curves)	0	2- 3+ 5- 17-	2- 3+ 5-  2  2  0 17- -4
Curve Equation t 12240bk1 [0,0,0,-1303587,-614867166] 2 12240bk2 [0,0,0,-21279267,-37781617374] 2
12240bl (2 curves)	0	2- 3+ 5- 17-	2- 3+ 5- -4 -4  6 17- -4
Curve Equation t 12240bl1 [0,0,0,108,351] 2 12240bl2 [0,0,0,-567,3186] 2
12240bm (8 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0  4 -2 17+ -4
Curve Equation t Generators 12240bm1 [0,0,0,-11523,584962] 2 [98:630:1] 12240bm2 [0,0,0,-195843,33357058] 4 [129:3200:1] 12240bm3 [0,0,0,-207363,29212162] 4 [111:2750:1] 12240bm4 [0,0,0,-3133443,2134916098] 2 [1047:1390:1] 12240bm5 [0,0,0,-1039683,-382120382] 4 [352795:17305002:125] 12240bm6 [0,0,0,440637,175271362] 2 [2703:145310:1] 12240bm7 [0,0,0,-16339683,-25422100382] 2 [-6812167791:-58065970:2924207] 12240bm8 [0,0,0,943197,-1667423198] 2 [2211537548847:-121795832031250:761048497]
12240bn (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  2 -2 -6 17+  8
Curve Equation t Generators 12240bn1 [0,0,0,-1083,11882] 2 [-19:160:1] 12240bn2 [0,0,0,1797,64298] 2 [-1:250:1]
12240bo (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  2  4  0 17+ -4
Curve Equation t Generators 12240bo1 [0,0,0,-104043,-13087078] 2 [730213:12970150:1331] 12240bo2 [0,0,0,-1670763,-831228262] 2 [8629:792000:1]
12240bp (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -3  1 -2 17+ -1
Curve Equation t Generators 12240bp1 [0,0,0,267,1483] 1 [2:45:1]
12240bq (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  5 -5  0 17+ -1
Curve Equation t Generators 12240bq1 [0,0,0,-1533,169607] 1 [238:3645:1]
12240br (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+  0 -6  2 17-  8
Curve Equation t 12240br1 [0,0,0,-228,-1253] 2 12240br2 [0,0,0,177,-5222] 2
12240bs (4 curves)	0	2- 3- 5+ 17-	2- 3- 5+ -2  0 -4 17-  4
Curve Equation t 12240bs1 [0,0,0,3597,-651598] 2 12240bs2 [0,0,0,-94323,-10659022] 2 12240bs3 [0,0,0,-471603,-124696078] 2 12240bs4 [0,0,0,-7546323,-7979050222] 2
12240bt (2 curves)	0	2- 3- 5+ 17-	2- 3- 5+ -2  0  5 17-  1
Curve Equation t 12240bt1 [0,0,0,-363,11162] 1 12240bt2 [0,0,0,3237,-286198] 1
12240bu (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+  3  3 -4 17- -1
Curve Equation t 12240bu1 [0,0,0,-11073,448603] 1
12240bv (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  0 -2  2 17+ -8
Curve Equation t 12240bv1 [0,0,0,-3964692,3038267351] 2 12240bv2 [0,0,0,-3669447,3509891714] 2
12240bw (4 curves)	0	2- 3- 5- 17+	2- 3- 5-  0  4  2 17+  4
Curve Equation t 12240bw1 [0,0,0,573,-574] 2 12240bw2 [0,0,0,-2307,-4606] 4 12240bw3 [0,0,0,-26787,-1683934] 2 12240bw4 [0,0,0,-23907,1416674] 2
12240bx (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  2  2  2 17+  0
Curve Equation t 12240bx1 [0,0,0,-1227,-16454] 2 12240bx2 [0,0,0,-507,-35606] 2
12240by (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -2 -4 -3 17+ -3
Curve Equation t 12240by1 [0,0,0,-1467,-21654] 1
12240bz (2 curves)	0	2- 3- 5- 17+	2- 3- 5- -2 -4  4 17+  4
Curve Equation t 12240bz1 [0,0,0,-384987,119078026] 2 12240bz2 [0,0,0,-6651867,6602792074] 2
12240ca (4 curves)	0	2- 3- 5- 17+	2- 3- 5- -2  6  2 17+ -8
Curve Equation t 12240ca1 [0,0,0,-367707,85821194] 2 12240ca2 [0,0,0,-356187,91449866] 2 12240ca3 [0,0,0,-600267,-35210374] 2 12240ca4 [0,0,0,2348853,-278807686] 2
12240cb (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  4  2 -6 17+  0
Curve Equation t 12240cb1 [0,0,0,-252,1539] 2 12240cb2 [0,0,0,-207,2106] 2
12240cc (4 curves)	0	2- 3- 5- 17+	2- 3- 5-  4 -4 -2 17+  4
Curve Equation t 12240cc1 [0,0,0,-14547,589714] 2 12240cc2 [0,0,0,-60627,-5151854] 4 12240cc3 [0,0,0,-941907,-351847406] 2 12240cc4 [0,0,0,83373,-25916654] 2
12240cd (2 curves)	0	2- 3- 5- 17+	2- 3- 5- -5  3  2 17+  7
Curve Equation t 12240cd1 [0,0,0,-777,-9349] 1 12240cd2 [0,0,0,-65037,-6383941] 1
12240ce (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  1  3 -2 17- -1
Curve Equation t Generators 12240ce1 [0,0,0,-57,-2081] 1 [38:225:1]
12240cf (2 curves)	1	2- 3- 5- 17-	2- 3- 5-  1 -3 -4 17-  7
Curve Equation t Generators 12240cf1 [0,0,0,-57,299] 1 [10:27:1] 12240cf2 [0,0,0,483,-5749] 1 [82:765:1]
12240cg (2 curves)	1	2- 3- 5- 17-	2- 3- 5- -2  0 -1 17-  1
Curve Equation t Generators 12240cg1 [0,0,0,57453,-1645486] 1 [1731:40960:27] 12240cg2 [0,0,0,-956307,-371557294] 1 [1337:27200:1]
12240ch (2 curves)	1	2- 3- 5- 17-	2- 3- 5- -2  0  4 17- -4
Curve Equation t Generators 12240ch1 [0,0,0,2013,92194] 2 [-25:162:1] 12240ch2 [0,0,0,-22467,1154626] 2 [47:450:1]

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