Cremona's table of elliptic curves

2730 = 2 · 3 · 5 · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
2730a (4 curves)	1	2+ 3+ 5+ 7+ 13+	2+ 3+ 5+ 7+ -4 13+  6  0
Curve Equation t Generators 2730a1 [1,1,0,-22718,1179252] 2 [-148:1226:1] 2730a2 [1,1,0,-85438,-8366732] 4 [-197:1030:1] 2730a3 [1,1,0,-1315758,-581449788] 2 [2641:118567:1] 2730a4 [1,1,0,141362,-44972252] 2 [363:7190:1]
2730b (4 curves)	0	2+ 3+ 5+ 7+ 13-	2+ 3+ 5+ 7+  4 13-  6  4
Curve Equation t 2730b1 [1,1,0,-493,-5603] 2 2730b2 [1,1,0,-8493,-304803] 4 2730b3 [1,1,0,-135893,-19338363] 2 2730b4 [1,1,0,-9093,-260043] 2
2730c (4 curves)	0	2+ 3+ 5+ 7+ 13-	2+ 3+ 5+ 7+  4 13- -6 -8
Curve Equation t 2730c1 [1,1,0,-720043,118835197] 2 2730c2 [1,1,0,-9859563,11906988093] 4 2730c3 [1,1,0,-157734563,762431763093] 2 2730c4 [1,1,0,-8216883,16006788837] 2
2730d (4 curves)	0	2+ 3+ 5+ 7- 13+	2+ 3+ 5+ 7-  4 13+  2  4
Curve Equation t 2730d1 [1,1,0,-483,-627] 2 2730d2 [1,1,0,-5603,-163443] 4 2730d3 [1,1,0,-89603,-10361043] 2 2730d4 [1,1,0,-3523,-283667] 2
2730e (2 curves)	1	2+ 3+ 5+ 7- 13-	2+ 3+ 5+ 7-  2 13-  4 -8
Curve Equation t Generators 2730e1 [1,1,0,-75183,7787493] 2 [141:51:1] 2730e2 [1,1,0,-3503,22109157] 2 [-269:2052:1]
2730f (4 curves)	1	2+ 3+ 5+ 7- 13-	2+ 3+ 5+ 7- -4 13- -2  4
Curve Equation t Generators 2730f1 [1,1,0,7,213] 2 [-2:15:1] 2730f2 [1,1,0,-493,3913] 4 [-12:97:1] 2730f3 [1,1,0,-1143,-9477] 2 [-17:82:1] 2730f4 [1,1,0,-7843,264103] 2 [51:-22:1]
2730g (2 curves)	0	2+ 3+ 5- 7+ 13+	2+ 3+ 5- 7+ -2 13+ -2 -2
Curve Equation t 2730g1 [1,1,0,-8127,273861] 2 2730g2 [1,1,0,193,817989] 2
2730h (4 curves)	1	2+ 3+ 5- 7- 13+	2+ 3+ 5- 7-  0 13+ -2 -4
Curve Equation t Generators 2730h1 [1,1,0,-2,36] 2 [0:6:1] 2730h2 [1,1,0,-182,864] 4 [-2:36:1] 2730h3 [1,1,0,-332,-966] 2 [-5:27:1] 2730h4 [1,1,0,-2912,59286] 2 [31:-13:1]
2730i (2 curves)	1	2+ 3+ 5- 7- 13+	2+ 3+ 5- 7- -6 13+  4  8
Curve Equation t Generators 2730i1 [1,1,0,-1534592,692407296] 2 [527:5249:1] 2730i2 [1,1,0,1154528,2863602784] 2 [-747:40186:1]
2730j (2 curves)	0	2+ 3+ 5- 7- 13-	2+ 3+ 5- 7-  2 13-  6  2
Curve Equation t 2730j1 [1,1,0,-142,-524] 2 2730j2 [1,1,0,378,-2916] 2
2730k (4 curves)	0	2+ 3- 5+ 7+ 13+	2+ 3- 5+ 7+ -4 13+ -2  8
Curve Equation t 2730k1 [1,0,1,-138890144,630009263342] 2 2730k2 [1,0,1,-139893664,620442907886] 4 2730k3 [1,0,1,-330949984,-1440519827218] 2 2730k4 [1,0,1,35106336,2069162907886] 2
2730l (2 curves)	0	2+ 3- 5+ 7+ 13+	2+ 3- 5+ 7+  6 13+ -2 -2
Curve Equation t 2730l1 [1,0,1,-99,-374] 2 2730l2 [1,0,1,31,-1258] 2
2730m (4 curves)	1	2+ 3- 5+ 7- 13+	2+ 3- 5+ 7-  0 13+  2 -8
Curve Equation t Generators 2730m1 [1,0,1,-619,5846] 2 [16:2:1] 2730m2 [1,0,1,-939,-938] 4 [-25:96:1] 2730m3 [1,0,1,-10739,-428218] 2 [-60:61:1] 2730m4 [1,0,1,3741,-6554] 2 [14:213:1]
2730n (8 curves)	0	2+ 3- 5+ 7- 13-	2+ 3- 5+ 7-  0 13- -6 -4
Curve Equation t 2730n1 [1,0,1,-3424,113582] 6 2730n2 [1,0,1,-61744,5898926] 12 2730n3 [1,0,1,27761,-1694014] 2 2730n4 [1,0,1,-68764,4472462] 6 2730n5 [1,0,1,-987844,377820686] 6 2730n6 [1,0,1,-156559,-15923518] 4 2730n7 [1,0,1,-2265679,-1312610494] 2 2730n8 [1,0,1,-996559,370812482] 2
2730o (4 curves)	0	2+ 3- 5+ 7- 13-	2+ 3- 5+ 7-  6 13-  0  8
Curve Equation t 2730o1 [1,0,1,-759,-3674] 6 2730o2 [1,0,1,2671,-26998] 6 2730o3 [1,0,1,-51474,-4499228] 2 2730o4 [1,0,1,-51194,-4550524] 2
2730p (6 curves)	0	2+ 3- 5+ 7- 13-	2+ 3- 5+ 7- -6 13-  6  2
Curve Equation t 2730p1 [1,0,1,-14344,660002] 6 2730p2 [1,0,1,-14214,672586] 6 2730p3 [1,0,1,-18259,270446] 6 2730p4 [1,0,1,69621,2133502] 6 2730p5 [1,0,1,-852274,-302906428] 2 2730p6 [1,0,1,-818994,-327640124] 2
2730q (2 curves)	0	2- 3+ 5+ 7+ 13+	2- 3+ 5+ 7+ -2 13+ -2 -2
Curve Equation t 2730q1 [1,1,1,-46,-121] 2 2730q2 [1,1,1,84,-537] 2
2730r (4 curves)	0	2- 3+ 5+ 7+ 13+	2- 3+ 5+ 7+  4 13+ -2  4
Curve Equation t 2730r1 [1,1,1,126619,333285419] 2 2730r2 [1,1,1,-6508901,6207047723] 4 2730r3 [1,1,1,-15868901,-15699096277] 2 2730r4 [1,1,1,-103317221,404166689579] 2
2730s (2 curves)	1	2- 3+ 5+ 7+ 13-	2- 3+ 5+ 7+ -2 13-  0  4
Curve Equation t Generators 2730s1 [1,1,1,-91,233] 2 [-1:18:1] 2730s2 [1,1,1,189,1689] 2 [9:60:1]
2730t (2 curves)	0	2- 3+ 5+ 7- 13-	2- 3+ 5+ 7- -2 13-  6 -2
Curve Equation t 2730t1 [1,1,1,-12166,-521341] 2 2730t2 [1,1,1,-10086,-702717] 2
2730u (2 curves)	1	2- 3+ 5- 7+ 13+	2- 3+ 5- 7+ -2 13+ -8  4
Curve Equation t Generators 2730u1 [1,1,1,-230,227] 2 [57:-449:1] 2730u2 [1,1,1,890,2915] 2 [53:-477:1]
2730v (8 curves)	0	2- 3+ 5- 7+ 13-	2- 3+ 5- 7+  4 13-  2 -4
Curve Equation t 2730v1 [1,1,1,-21760,1242785] 4 2730v2 [1,1,1,-349440,79361697] 8 2730v3 [1,1,1,-350720,78749345] 8 2730v4 [1,1,1,-5591040,5086138017] 4 2730v5 [1,1,1,-688720,-98092255] 4 2730v6 [1,1,1,-33200,216426017] 8 2730v7 [1,1,1,-9218020,-10769952415] 2 2730v8 [1,1,1,2432580,-737334495] 2
2730w (6 curves)	0	2- 3+ 5- 7+ 13-	2- 3+ 5- 7+ -4 13-  2  4
Curve Equation t 2730w1 [1,1,1,-375,2637] 4 2730w2 [1,1,1,-455,1325] 8 2730w3 [1,1,1,-3835,-91963] 4 2730w4 [1,1,1,1645,12245] 4 2730w5 [1,1,1,-61165,-5847895] 2 2730w6 [1,1,1,-585,-238863] 2
2730x (6 curves)	1	2- 3+ 5- 7- 13-	2- 3+ 5- 7- -4 13- -6 -4
Curve Equation t Generators 2730x1 [1,1,1,-370,43007] 4 [-23:211:1] 2730x2 [1,1,1,-20850,1140735] 8 [-107:1523:1] 2730x3 [1,1,1,-36530,-828673] 4 [-163:991:1] 2730x4 [1,1,1,-332850,73774335] 4 [333:-157:1] 2730x5 [1,1,1,-462410,-121097185] 2 [-397:523:1] 2730x6 [1,1,1,138470,-6288673] 2 [87:2491:1]
2730y (4 curves)	1	2- 3- 5+ 7+ 13+	2- 3- 5+ 7+ -4 13+ -2 -4
Curve Equation t Generators 2730y1 [1,0,0,64,0] 2 [4:16:1] 2730y2 [1,0,0,-256,-64] 4 [-10:44:1] 2730y3 [1,0,0,-2856,-58824] 2 [-30:24:1] 2730y4 [1,0,0,-2776,55880] 2 [38:56:1]
2730z (4 curves)	0	2- 3- 5+ 7- 13+	2- 3- 5+ 7-  0 13+  2  4
Curve Equation t 2730z1 [1,0,0,-318436,-54976240] 2 2730z2 [1,0,0,-1629156,752165136] 4 2730z3 [1,0,0,-25629156,49937765136] 2 2730z4 [1,0,0,1399324,3228856080] 2
2730ba (4 curves)	0	2- 3- 5+ 7- 13+	2- 3- 5+ 7-  0 13+  2  4
Curve Equation t 2730ba1 [1,0,0,-29946,-1997100] 2 2730ba2 [1,0,0,-29966,-1994304] 4 2730ba3 [1,0,0,-42116,-227694] 2 2730ba4 [1,0,0,-18136,-3581890] 2
2730bb (2 curves)	0	2- 3- 5- 7+ 13+	2- 3- 5- 7+  2 13+ -4  4
Curve Equation t 2730bb1 [1,0,0,-2055,35685] 2 2730bb2 [1,0,0,-1985,38247] 2
2730bc (2 curves)	0	2- 3- 5- 7+ 13+	2- 3- 5- 7+  2 13+  6 -6
Curve Equation t 2730bc1 [1,0,0,-2307340,-1349135728] 2 2730bc2 [1,0,0,-2174220,-1511622000] 2
2730bd (8 curves)	0	2- 3- 5- 7- 13-	2- 3- 5- 7-  0 13-  6 -4
Curve Equation t 2730bd1 [1,0,0,-25725,1577457] 12 2730bd2 [1,0,0,-41405,-576975] 12 2730bd3 [1,0,0,-158925,-23336703] 4 2730bd4 [1,0,0,-496405,-134437975] 6 2730bd5 [1,0,0,162715,-4536903] 6 2730bd6 [1,0,0,-2511905,-1532538075] 4 2730bd7 [1,0,0,-40190455,-98072518885] 2 2730bd8 [1,0,0,-2481035,-1572033153] 2

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