Cremona's table of elliptic curves

48240 = 2⁴ · 3² · 5 · 67

Class	r	Atkin-Lehner	Eigenvalues
48240a (2 curves)	1	2+ 3+ 5+ 67+	2+ 3+ 5+  0 -4  0 -6  0
Curve Equation t Generators 48240a1 [0,0,0,-783,7182] 2 [-6:108:1] 48240a2 [0,0,0,-3483,-72198] 2 [-26:28:1]
48240b (2 curves)	1	2+ 3+ 5+ 67+	2+ 3+ 5+ -2  0 -4  8 -4
Curve Equation t Generators 48240b1 [0,0,0,-2403,10098] 2 [3:54:1] 48240b2 [0,0,0,-29403,1937898] 2 [129:-540:1]
48240c (2 curves)	0	2+ 3+ 5+ 67-	2+ 3+ 5+ -4 -4  6  4 -4
Curve Equation t 48240c1 [0,0,0,-378,-9477] 2 48240c2 [0,0,0,-9423,-351378] 2
48240d (2 curves)	0	2+ 3+ 5- 67+	2+ 3+ 5-  0  4  0  6  0
Curve Equation t 48240d1 [0,0,0,-87,-266] 2 48240d2 [0,0,0,-387,2674] 2
48240e (2 curves)	2	2+ 3+ 5- 67+	2+ 3+ 5- -2  0 -4 -8 -4
Curve Equation t Generators 48240e1 [0,0,0,-267,-374] 2 [-15:16:1]&[-13:30:1] 48240e2 [0,0,0,-3267,-71774] 2 [-33:10:1]&[87:550:1]
48240f (2 curves)	1	2+ 3+ 5- 67-	2+ 3+ 5- -4  4  6 -4 -4
Curve Equation t Generators 48240f1 [0,0,0,-42,351] 2 [7:20:1] 48240f2 [0,0,0,-1047,13014] 2 [13:40:1]
48240g (1 curve)	0	2+ 3- 5+ 67+	2+ 3- 5+ -1 -1 -2 -2  6
Curve Equation t 48240g1 [0,0,0,-596043,178757658] 1
48240h (1 curve)	0	2+ 3- 5+ 67+	2+ 3- 5+ -1  2 -2  4  0
Curve Equation t 48240h1 [0,0,0,-63,513] 1
48240i (2 curves)	0	2+ 3- 5+ 67+	2+ 3- 5+  2  0 -2 -4  0
Curve Equation t 48240i1 [0,0,0,-123843,2578642] 2 48240i2 [0,0,0,-1248843,-534496358] 2
48240j (2 curves)	0	2+ 3- 5+ 67+	2+ 3- 5+  4  0 -4  0  4
Curve Equation t 48240j1 [0,0,0,-543,-4642] 2 48240j2 [0,0,0,357,-18502] 2
48240k (1 curve)	1	2+ 3- 5+ 67-	2+ 3- 5+  1  3  2  2 -6
Curve Equation t Generators 48240k1 [0,0,0,-723,-12238] 1 [37:108:1]
48240l (1 curve)	1	2+ 3- 5+ 67-	2+ 3- 5+ -1  0 -2  6  4
Curve Equation t Generators 48240l1 [0,0,0,-723,-14047] 1 [6660616:30927593:148877]
48240m (1 curve)	1	2+ 3- 5+ 67-	2+ 3- 5+  2  4 -6  1 -5
Curve Equation t Generators 48240m1 [0,0,0,492,668] 1 [2:225:8]
48240n (2 curves)	1	2+ 3- 5+ 67-	2+ 3- 5+  2 -4  6 -4  0
Curve Equation t Generators 48240n1 [0,0,0,-723,-6878] 2 [-13:18:1] 48240n2 [0,0,0,-2523,41002] 2 [47:162:1]
48240o (1 curve)	1	2+ 3- 5+ 67-	2+ 3- 5+ -2  2  2  7 -1
Curve Equation t Generators 48240o1 [0,0,0,-71868,7415692] 1 [161:135:1]
48240p (4 curves)	1	2+ 3- 5+ 67-	2+ 3- 5+  4 -4  2 -2 -4
Curve Equation t Generators 48240p1 [0,0,0,-8103,-211898] 2 [-46:252:1] 48240p2 [0,0,0,-120603,-16119398] 4 [26468:139293:64] 48240p3 [0,0,0,-111603,-18626798] 2 [1202:39798:1] 48240p4 [0,0,0,-1929603,-1031691998] 2 [1869668:319195107:64]
48240q (2 curves)	1	2+ 3- 5+ 67-	2+ 3- 5+ -4  6 -2  0  4
Curve Equation t Generators 48240q1 [0,0,0,357,20378] 2 [1:144:1] 48240q2 [0,0,0,-9363,333362] 2 [31:270:1]
48240r (4 curves)	1	2+ 3- 5- 67+	2+ 3- 5-  0  0  2 -2  4
Curve Equation t Generators 48240r1 [0,0,0,33,30814] 2 [165:2128:1] 48240r2 [0,0,0,-14547,663586] 4 [-85:1134:1] 48240r3 [0,0,0,-30747,-1082774] 2 [-105:994:1] 48240r4 [0,0,0,-231627,42907354] 2 [233:1260:1]
48240s (4 curves)	1	2+ 3- 5- 67+	2+ 3- 5-  0 -4 -2  6 -4
Curve Equation t Generators 48240s1 [0,0,0,4758,1813651] 2 [16821:504680:343] 48240s2 [0,0,0,-197247,32639614] 4 [-27:6160:1] 48240s3 [0,0,0,-498747,-91035686] 2 [-13788:162085:64] 48240s4 [0,0,0,-3127827,2129176546] 4 [-103:49500:1]
48240t (1 curve)	1	2+ 3- 5- 67+	2+ 3- 5-  1  0  2 -2 -4
Curve Equation t Generators 48240t1 [0,0,0,33,61] 1 [12:235:27]
48240u (2 curves)	1	2+ 3- 5- 67+	2+ 3- 5-  2  0  6  0  0
Curve Equation t Generators 48240u1 [0,0,0,-439707,-112225894] 2 [-645377341:4656420:1685159] 48240u2 [0,0,0,-441507,-111260734] 2 [-143885:123012:343]
48240v (1 curve)	1	2+ 3- 5- 67+	2+ 3- 5-  3  1  0  0 -6
Curve Equation t Generators 48240v1 [0,0,0,-13107,578194] 1 [53:180:1]
48240w (1 curve)	0	2+ 3- 5- 67-	2+ 3- 5-  2 -2  6 -1 -1
Curve Equation t 48240w1 [0,0,0,-36252,-2709396] 1
48240x (4 curves)	0	2+ 3- 5- 67-	2+ 3- 5-  4 -4  2  6  4
Curve Equation t 48240x1 [0,0,0,-15087,-713266] 2 48240x2 [0,0,0,-15267,-695374] 4 48240x3 [0,0,0,8853,-2687686] 2 48240x4 [0,0,0,-42267,2442026] 4
48240y (4 curves)	0	2+ 3- 5- 67-	2+ 3- 5- -4 -4  6  2  4
Curve Equation t 48240y1 [0,0,0,-5727,-165346] 2 48240y2 [0,0,0,-10227,130754] 4 48240y3 [0,0,0,38373,1015274] 4 48240y4 [0,0,0,-130827,18196634] 2
48240z (2 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  2  0  0  0 -4
Curve Equation t 48240z1 [0,0,0,-7803,197802] 2 48240z2 [0,0,0,-115803,15166602] 2
48240ba (2 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  2  0 -4  4 -4
Curve Equation t 48240ba1 [0,0,0,-381483,-90646182] 2 48240ba2 [0,0,0,-450603,-55519398] 2
48240bb (2 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+  2  4  4  0  4
Curve Equation t 48240bb1 [0,0,0,-1803,-28998] 2 48240bb2 [0,0,0,-3723,43578] 2
48240bc (4 curves)	0	2- 3+ 5+ 67+	2- 3+ 5+ -2  0 -4  0  4
Curve Equation t 48240bc1 [0,0,0,-505563,-80799862] 2 48240bc2 [0,0,0,-3577563,2546988938] 2 48240bc3 [0,0,0,-18000603,29392030602] 2 48240bc4 [0,0,0,-288000603,1881214030602] 2
48240bd (2 curves)	1	2- 3+ 5+ 67-	2- 3+ 5+ -2 -6 -4  2 -4
Curve Equation t Generators 48240bd1 [0,0,0,-977643,647716122] 2 [982:25192:1] 48240bd2 [0,0,0,-18672363,31043706138] 2 [2119:31490:1]
48240be (2 curves)	1	2- 3+ 5- 67+	2- 3+ 5-  2  0  0  0 -4
Curve Equation t Generators 48240be1 [0,0,0,-867,-7326] 2 [-17:50:1] 48240be2 [0,0,0,-12867,-561726] 2 [-65:2:1]
48240bf (2 curves)	1	2- 3+ 5- 67+	2- 3+ 5-  2  0 -4 -4 -4
Curve Equation t Generators 48240bf1 [0,0,0,-42387,3357266] 2 [127:150:1] 48240bf2 [0,0,0,-50067,2056274] 2 [-167:2400:1]
48240bg (2 curves)	1	2- 3+ 5- 67+	2- 3+ 5-  2 -4  4  0  4
Curve Equation t Generators 48240bg1 [0,0,0,-16227,782946] 2 [135:1026:1] 48240bg2 [0,0,0,-33507,-1176606] 2 [-95:1072:1]
48240bh (4 curves)	1	2- 3+ 5- 67+	2- 3+ 5- -2  0 -4  0  4
Curve Equation t Generators 48240bh1 [0,0,0,-2000067,-1088593726] 2 [-817:350:1] 48240bh2 [0,0,0,-32000067,-69674593726] 2 [6583:70350:1] 48240bh3 [0,0,0,-4550067,2181596274] 2 [-617:68950:1] 48240bh4 [0,0,0,-32198067,-68768701326] 2 [-985775:-1863226:343]
48240bi (2 curves)	0	2- 3+ 5- 67-	2- 3+ 5- -2  6 -4 -2 -4
Curve Equation t 48240bi1 [0,0,0,-108627,-23989486] 2 48240bi2 [0,0,0,-2074707,-1149766894] 2
48240bj (2 curves)	1	2- 3- 5+ 67+	2- 3- 5+  0  2 -2  4 -4
Curve Equation t Generators 48240bj1 [0,0,0,717,5362] 2 [9:112:1] 48240bj2 [0,0,0,-3603,47698] 2 [-31:360:1]
48240bk (2 curves)	1	2- 3- 5+ 67+	2- 3- 5+  1  3 -4  0 -2
Curve Equation t Generators 48240bk1 [0,0,0,357,10442] 1 [-11:72:1] 48240bk2 [0,0,0,-3243,-296998] 1 [229:3312:1]
48240bl (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+ -1 -5 -2  6 -2
Curve Equation t Generators 48240bl1 [0,0,0,-75483,-15640182] 1 [813:21456:1]
48240bm (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+  2 -2 -2  3  1
Curve Equation t Generators 48240bm1 [0,0,0,-288,3888] 1 [9:45:1]
48240bn (2 curves)	1	2- 3- 5+ 67+	2- 3- 5+ -2  0  2  4  8
Curve Equation t Generators 48240bn1 [0,0,0,-1083,7018] 2 [-19:144:1] 48240bn2 [0,0,0,-8283,-285302] 2 [-49:54:1]
48240bo (1 curve)	1	2- 3- 5+ 67+	2- 3- 5+  3 -5  2 -6 -2
Curve Equation t Generators 48240bo1 [0,0,0,-40473723,175287857578] 1 [-1126396439:32755433472:148877]
48240bp (2 curves)	0	2- 3- 5+ 67-	2- 3- 5+  0  0  4  4 -4
Curve Equation t 48240bp1 [0,0,0,-42843,-3145142] 2 48240bp2 [0,0,0,47157,-14611142] 2
48240bq (1 curve)	0	2- 3- 5+ 67-	2- 3- 5+  1 -1 -6  2  2
Curve Equation t 48240bq1 [0,0,0,-11523,3902722] 1
48240br (2 curves)	0	2- 3- 5+ 67-	2- 3- 5+  2 -4  0 -2  4
Curve Equation t 48240br1 [0,0,0,-39243,-2109958] 2 48240br2 [0,0,0,104757,-14004358] 2
48240bs (2 curves)	0	2- 3- 5+ 67-	2- 3- 5+ -4  2  6  4  4
Curve Equation t 48240bs1 [0,0,0,-72723,-7901998] 2 48240bs2 [0,0,0,-1178643,-492516142] 2
48240bt (4 curves)	0	2- 3- 5- 67+	2- 3- 5-  0  4  2 -6  4
Curve Equation t 48240bt1 [0,0,0,18213,-552566] 2 48240bt2 [0,0,0,-85467,-4761974] 4 48240bt3 [0,0,0,-664347,205139914] 4 48240bt4 [0,0,0,-1165467,-484065974] 2
48240bu (1 curve)	0	2- 3- 5- 67+	2- 3- 5- -1 -3 -4 -4  2
Curve Equation t 48240bu1 [0,0,0,6333,-1084606] 1
48240bv (1 curve)	0	2- 3- 5- 67+	2- 3- 5- -1 -6  2 -4  8
Curve Equation t 48240bv1 [0,0,0,-57,191] 1
48240bw (4 curves)	0	2- 3- 5- 67+	2- 3- 5- -2  0  2  0 -8
Curve Equation t 48240bw1 [0,0,0,-128307,15198194] 2 48240bw2 [0,0,0,-1971507,1065453554] 2 48240bw3 [0,0,0,-2754867,-1758172174] 2 48240bw4 [0,0,0,-3474867,-767308174] 2
48240bx (2 curves)	0	2- 3- 5- 67+	2- 3- 5- -2 -6  2  3  1
Curve Equation t 48240bx1 [0,0,0,34368,372656] 1 48240bx2 [0,0,0,-432192,-120792976] 1
48240by (1 curve)	0	2- 3- 5- 67+	2- 3- 5-  5 -3  6  6  2
Curve Equation t 48240by1 [0,0,0,-1827,31266] 1
48240bz (1 curve)	1	2- 3- 5- 67-	2- 3- 5-  2 -2  2 -5 -1
Curve Equation t Generators 48240bz1 [0,0,0,-192,7724] 1 [-2:90:1]
48240ca (2 curves)	1	2- 3- 5- 67-	2- 3- 5-  2 -4 -2  0  8
Curve Equation t Generators 48240ca1 [0,0,0,-470307,122460194] 2 [335:1582:1] 48240ca2 [0,0,0,-931107,-156876766] 2 [-207655:4664414:343]
48240cb (1 curve)	1	2- 3- 5- 67-	2- 3- 5- -2  0  2  1 -1
Curve Equation t Generators 48240cb1 [0,0,0,-58872,19868636] 1 [982:30150:1]
48240cc (2 curves)	1	2- 3- 5- 67-	2- 3- 5-  4  0 -4  4 -4
Curve Equation t Generators 48240cc1 [0,0,0,-4467,-90574] 2 [-25:74:1] 48240cc2 [0,0,0,9933,-554254] 2 [1415:53354:1]
48240cd (4 curves)	1	2- 3- 5- 67-	2- 3- 5- -4  4  2 -2 -4
Curve Equation t Generators 48240cd1 [0,0,0,-11038827,-14115737446] 2 [11295342790141:6855117267271680:30664297] 48240cd2 [0,0,0,-11776107,-12122574694] 4 [1473397:1788456960:1] 48240cd3 [0,0,0,26815893,-74958069094] 2 [754376584:915693214025:512] 48240cd4 [0,0,0,-62164587,178275335834] 4 [-9017:75330:1]
48240ce (1 curve)	1	2- 3- 5- 67-	2- 3- 5- -5  0  2 -2 -4
Curve Equation t Generators 48240ce1 [0,0,0,-10857,435431] 1 [62:25:1]

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