Cremona's table of elliptic curves

123354 = 2 · 3² · 7 · 11 · 89

Class	r	Atkin-Lehner	Eigenvalues
123354a (2 curves)	1	2+ 3+ 7+ 11+ 89+	2+ 3+  0 7+ 11+  6 -2 -4
Curve Equation t Generators 123354a1 [1,-1,0,-117,245] 2 [-11:16:1] 123354a2 [1,-1,0,-957,-11011] 2 [-19:16:1]
123354b (2 curves)	1	2+ 3+ 7+ 11+ 89+	2+ 3+  2 7+ 11+  6 -4  4
Curve Equation t Generators 123354b1 [1,-1,0,-351,-2563] 2 [6697:544669:1] 123354b2 [1,-1,0,-5691,-163831] 2 [88:61:1]
123354c (2 curves)	0	2+ 3+ 7+ 11+ 89-	2+ 3+  2 7+ 11+ -2  2  4
Curve Equation t 123354c1 [1,-1,0,-62601,5953805] 2 123354c2 [1,-1,0,-2121,16924877] 2
123354d (1 curve)	1	2+ 3+ 7+ 11- 89-	2+ 3+  0 7+ 11- -3  3  2
Curve Equation t Generators 123354d1 [1,-1,0,-40394607,257320487213] 1 [-2018:576001:1]
123354e (1 curve)	1	2+ 3+ 7+ 11- 89-	2+ 3+ -2 7+ 11-  5 -5  0
Curve Equation t Generators 123354e1 [1,-1,0,1122,35924] 1 [100:1018:1]
123354f (2 curves)	0	2+ 3+ 7- 11+ 89+	2+ 3+  4 7- 11+ -2  2 -4
Curve Equation t 123354f1 [1,-1,0,-75,-207] 2 123354f2 [1,-1,0,-285,1683] 2
123354g (4 curves)	1	2+ 3+ 7- 11+ 89-	2+ 3+  0 7- 11+  2  6 -4
Curve Equation t Generators 123354g1 [1,-1,0,-495642,134213940] 6 [14595:1096137:125] 123354g2 [1,-1,0,-660282,37504404] 6 [7007105:4854763683:857375] 123354g3 [1,-1,0,-2131017,-1071720307] 2 [-10715417195901786:-77812014112147027:10733897951379] 123354g4 [1,-1,0,-33096777,-73277679475] 2 [-8875903732811703298926548190:1798489924492905181828314739:2671218405090987992631000]
123354h (1 curve)	1	2+ 3+ 7- 11+ 89-	2+ 3+  2 7- 11+  1  7 -4
Curve Equation t Generators 123354h1 [1,-1,0,-27636,-2724400] 1 [203:-98:1]
123354i (2 curves)	1	2+ 3+ 7- 11+ 89-	2+ 3+ -2 7- 11+  2  0  4
Curve Equation t Generators 123354i1 [1,-1,0,2037,228725] 2 [-46:213:1] 123354i2 [1,-1,0,-46023,3621761] 2 [-232:1447:1]
123354j (2 curves)	0	2+ 3- 7+ 11+ 89+	2+ 3-  0 7+ 11+  2  8  0
Curve Equation t 123354j1 [1,-1,0,378,404352] 2 123354j2 [1,-1,0,-79812,8535618] 2
123354k (4 curves)	0	2+ 3- 7+ 11+ 89+	2+ 3-  2 7+ 11+ -2  2 -4
Curve Equation t 123354k1 [1,-1,0,3654,-559436] 2 123354k2 [1,-1,0,-83466,-8800988] 4 123354k3 [1,-1,0,-243846,35303512] 2 123354k4 [1,-1,0,-1317006,-581410256] 2
123354l (2 curves)	0	2+ 3- 7+ 11+ 89+	2+ 3- -4 7+ 11+  6  2 -8
Curve Equation t 123354l1 [1,-1,0,192621,-33298111] 2 123354l2 [1,-1,0,-1125069,-316601461] 2
123354m (2 curves)	1	2+ 3- 7+ 11- 89+	2+ 3-  0 7+ 11-  2 -2  4
Curve Equation t Generators 123354m1 [1,-1,0,-4757562,-4009188960] 2 [9188374:482884310:2197] 123354m2 [1,-1,0,-76206852,-256039414506] 2 [40510006363229:-2954624842342226:3170044709]
123354n (1 curve)	1	2+ 3- 7+ 11- 89+	2+ 3-  4 7+ 11- -5  4  4
Curve Equation t Generators 123354n1 [1,-1,0,-39600,3160408] 1 [149:668:1]
123354o (1 curve)	0	2+ 3- 7+ 11- 89-	2+ 3-  2 7+ 11-  1 -6 -4
Curve Equation t 123354o1 [1,-1,0,-15156,-878256] 1
123354p (1 curve)	0	2+ 3- 7+ 11- 89-	2+ 3-  3 7+ 11- -4  5 -1
Curve Equation t 123354p1 [1,-1,0,-1968,-36352] 1
123354q (1 curve)	1	2+ 3- 7- 11+ 89+	2+ 3-  0 7- 11+ -1  0 -4
Curve Equation t Generators 123354q1 [1,-1,0,783,-58595] 1 [47:260:1]
123354r (1 curve)	1	2+ 3- 7- 11+ 89+	2+ 3-  1 7- 11+  4 -1  5
Curve Equation t Generators 123354r1 [1,-1,0,-5724,1340496] 1 [-104:948:1]
123354s (4 curves)	1	2+ 3- 7- 11+ 89+	2+ 3-  2 7- 11+  6 -2 -8
Curve Equation t Generators 123354s1 [1,-1,0,-8811,-290763] 2 [-41:38:1] 123354s2 [1,-1,0,-30591,1734777] 4 [-23:1569:1] 123354s3 [1,-1,0,57519,9823275] 2 [175:4935:1] 123354s4 [1,-1,0,-467181,123019479] 2 [453:1821:1]
123354t (2 curves)	0	2+ 3- 7- 11+ 89-	2+ 3- -1 7- 11+  4 -3  5
Curve Equation t 123354t1 [1,-1,0,-6490440,-6772491968] 1 123354t2 [1,-1,0,13866120,437287307152] 1
123354u (1 curve)	0	2+ 3- 7- 11+ 89-	2+ 3-  2 7- 11+  1 -2 -4
Curve Equation t 123354u1 [1,-1,0,67391424,303735066624] 1
123354v (2 curves)	0	2+ 3- 7- 11+ 89-	2+ 3-  2 7- 11+ -2 -8 -4
Curve Equation t 123354v1 [1,-1,0,-143631,-20973411] 2 123354v2 [1,-1,0,-2299851,-1341873783] 2
123354w (4 curves)	0	2+ 3- 7- 11+ 89-	2+ 3-  2 7- 11+ -6  6 -4
Curve Equation t 123354w1 [1,-1,0,-3064941,-2720326235] 2 123354w2 [1,-1,0,-53246061,-149520174683] 4 123354w3 [1,-1,0,-57475341,-124377105083] 2 123354w4 [1,-1,0,-851914701,-9570455718395] 2
123354x (2 curves)	0	2+ 3- 7- 11+ 89-	2+ 3-  4 7- 11+ -2  4 -4
Curve Equation t 123354x1 [1,-1,0,-3780,-723632] 2 123354x2 [1,-1,0,-146340,-21394832] 2
123354y (2 curves)	0	2+ 3- 7- 11+ 89-	2+ 3- -4 7- 11+ -2  0  8
Curve Equation t 123354y1 [1,-1,0,-3079179,2080735429] 2 123354y2 [1,-1,0,-49268619,133120176709] 2
123354z (1 curve)	1	2+ 3- 7- 11- 89-	2+ 3-  0 7- 11-  1 -3 -4
Curve Equation t Generators 123354z1 [1,-1,0,-3300682572,75845853599008] 1 [45123:4311247:1]
123354ba (2 curves)	1	2+ 3- 7- 11- 89-	2+ 3-  0 7- 11- -2 -6 -4
Curve Equation t Generators 123354ba1 [1,-1,0,175923,47482213] 2 [138:-8693:1] 123354ba2 [1,-1,0,-1392237,518243845] 2 [-973:31325:1]
123354bb (1 curve)	1	2+ 3- 7- 11- 89-	2+ 3-  0 7- 11- -5  0 -4
Curve Equation t Generators 123354bb1 [1,-1,0,-1963962,-1058879318] 1 [17171:2233679:1]
123354bc (1 curve)	1	2+ 3- 7- 11- 89-	2+ 3-  0 7- 11- -6 -3  3
Curve Equation t Generators 123354bc1 [1,-1,0,-252,-14000] 1 [29:35:1]
123354bd (2 curves)	1	2+ 3- 7- 11- 89-	2+ 3- -4 7- 11- -2 -2 -4
Curve Equation t Generators 123354bd1 [1,-1,0,-61929,-5790771] 2 [546:-11361:1] 123354bd2 [1,-1,0,8631,-18279891] 2 [525:-11697:1]
123354be (2 curves)	1	2+ 3- 7- 11- 89-	2+ 3- -4 7- 11- -2  6  4
Curve Equation t Generators 123354be1 [1,-1,0,-50599179,-138524645691] 2 [1779645:177065598:125] 123354be2 [1,-1,0,-809588619,-8866144216251] 2 [10831080065:-1250352961194:274625]
123354bf (1 curve)	0	2- 3+ 7+ 11+ 89+	2- 3+  0 7+ 11+ -3 -3  2
Curve Equation t 123354bf1 [1,-1,1,-4488290,-9528892319] 1
123354bg (1 curve)	0	2- 3+ 7+ 11+ 89+	2- 3+  2 7+ 11+  5  5  0
Curve Equation t 123354bg1 [1,-1,1,10096,-980045] 1
123354bh (2 curves)	1	2- 3+ 7+ 11- 89+	2- 3+ -2 7+ 11- -2 -2  4
Curve Equation t Generators 123354bh1 [1,-1,1,-6956,-218193] 2 [-51:69:1] 123354bh2 [1,-1,1,-236,-626769] 2 [117:909:1]
123354bi (2 curves)	0	2- 3+ 7+ 11- 89-	2- 3+  0 7+ 11-  6  2 -4
Curve Equation t 123354bi1 [1,-1,1,-1055,-5561] 2 123354bi2 [1,-1,1,-8615,305911] 2
123354bj (2 curves)	0	2- 3+ 7+ 11- 89-	2- 3+ -2 7+ 11-  6  4  4
Curve Equation t 123354bj1 [1,-1,1,-3161,72361] 2 123354bj2 [1,-1,1,-51221,4474657] 2
123354bk (4 curves)	0	2- 3+ 7- 11- 89+	2- 3+  0 7- 11-  2 -6 -4
Curve Equation t 123354bk1 [1,-1,1,-236780,39772271] 6 123354bk2 [1,-1,1,-3677420,2715213935] 6 123354bk3 [1,-1,1,-4460780,-3619315601] 2 123354bk4 [1,-1,1,-5942540,-1006676369] 2
123354bl (2 curves)	0	2- 3+ 7- 11- 89+	2- 3+  2 7- 11-  2  0  4
Curve Equation t 123354bl1 [1,-1,1,226,-8547] 2 123354bl2 [1,-1,1,-5114,-132435] 2
123354bm (1 curve)	2	2- 3+ 7- 11- 89+	2- 3+ -2 7- 11-  1 -7 -4
Curve Equation t Generators 123354bm1 [1,-1,1,-3071,101927] 1 [-65:186:1]&[-45:406:1]
123354bn (2 curves)	1	2- 3+ 7- 11- 89-	2- 3+ -4 7- 11- -2 -2 -4
Curve Equation t Generators 123354bn1 [1,-1,1,-677,6265] 2 [-226:487:8] 123354bn2 [1,-1,1,-2567,-42875] 2 [-290:455:8]
123354bo (2 curves)	1	2- 3- 7+ 11+ 89+	2- 3- -2 7+ 11+  4  4  4
Curve Equation t Generators 123354bo1 [1,-1,1,-245156,-53434425] 2 [869:19293:1] 123354bo2 [1,-1,1,-4078436,-3169124409] 2 [3531:160853:1]
123354bp (1 curve)	1	2- 3- 7+ 11+ 89+	2- 3-  3 7+ 11+  6 -5 -1
Curve Equation t Generators 123354bp1 [1,-1,1,-59141,-418599107] 1 [108445:1634402:125]
123354bq (2 curves)	0	2- 3- 7+ 11- 89+	2- 3-  0 7+ 11- -6  0  2
Curve Equation t 123354bq1 [1,-1,1,2410,-813599] 2 123354bq2 [1,-1,1,-117380,-14996735] 2
123354br (1 curve)	0	2- 3- 7+ 11- 89+	2- 3-  2 7+ 11- -5 -6 -4
Curve Equation t 123354br1 [1,-1,1,-149,-709] 1
123354bs (2 curves)	0	2- 3- 7+ 11- 89+	2- 3-  2 7+ 11-  6 -6 -2
Curve Equation t 123354bs1 [1,-1,1,-67289,-6696007] 2 123354bs2 [1,-1,1,-83129,-3293575] 2
123354bt (2 curves)	0	2- 3- 7+ 11- 89+	2- 3- -2 7+ 11-  2 -2 -6
Curve Equation t 123354bt1 [1,-1,1,-318449576,-2187139445909] 2 123354bt2 [1,-1,1,-334669736,-1951986054293] 2
123354bu (1 curve)	1	2- 3- 7+ 11- 89-	2- 3-  0 7+ 11- -7  4 -4
Curve Equation t Generators 123354bu1 [1,-1,1,-8795390,-119401090419] 1 [9347:-788853:1]
123354bv (2 curves)	0	2- 3- 7- 11+ 89+	2- 3-  0 7- 11+ -2  4 -8
Curve Equation t 123354bv1 [1,-1,1,-116837870,-487264476999] 2 123354bv2 [1,-1,1,-1870683260,-31141675741575] 2
123354bw (1 curve)	2	2- 3- 7- 11+ 89+	2- 3-  0 7- 11+ -7 -1 -8
Curve Equation t Generators 123354bw1 [1,-1,1,8860,-217209] 1 [190:531:8]&[29:237:1]
123354bx (2 curves)	2	2- 3- 7- 11+ 89+	2- 3- -2 7- 11+  0 -6 -4
Curve Equation t Generators 123354bx1 [1,-1,1,-1346,-11199] 2 [-27:83:1]&[-13:69:1] 123354bx2 [1,-1,1,-9266,337281] 2 [-93:669:1]&[-79:795:1]
123354by (1 curve)	0	2- 3- 7- 11+ 89+	2- 3-  3 7- 11+ -2  7  1
Curve Equation t 123354by1 [1,-1,1,-401,-13467] 1
123354bz (2 curves)	0	2- 3- 7- 11+ 89+	2- 3-  4 7- 11+ -2  0  8
Curve Equation t 123354bz1 [1,-1,1,787,789] 2 123354bz2 [1,-1,1,-3173,8709] 2
123354ca (1 curve)	1	2- 3- 7- 11- 89+	2- 3- -1 7- 11-  2 -1 -1
Curve Equation t Generators 123354ca1 [1,-1,1,-4118,-101527] 1 [169:1917:1]
123354cb (1 curve)	1	2- 3- 7- 11- 89+	2- 3- -1 7- 11-  2  3  1
Curve Equation t Generators 123354cb1 [1,-1,1,-9858692498,376773277572753] 1 [57393:1487:1]
123354cc (1 curve)	1	2- 3- 7- 11- 89+	2- 3-  4 7- 11- -3  3 -4
Curve Equation t Generators 123354cc1 [1,-1,1,-1418,-26791] 1 [49:115:1]
123354cd (2 curves)	0	2- 3- 7- 11- 89-	2- 3-  0 7- 11-  2 -3 -7
Curve Equation t 123354cd1 [1,-1,1,89365,8530373] 1 123354cd2 [1,-1,1,-2130440,1209337715] 3

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