Cremona's table of elliptic curves

21210 = 2 · 3 · 5 · 7 · 101

Class	r	Atkin-Lehner	Eigenvalues
21210a (2 curves)	1	2+ 3+ 5+ 7+ 101+	2+ 3+ 5+ 7+  0 -6 -4  0
Curve Equation t Generators 21210a1 [1,1,0,-4797828,3794808528] 2 [-9:61956:1] 21210a2 [1,1,0,-15119748,-18064953648] 2 [-3001661:-13152023:2197]
21210b (4 curves)	1	2+ 3+ 5+ 7+ 101+	2+ 3+ 5+ 7+  4  2 -2  0
Curve Equation t Generators 21210b1 [1,1,0,-2751343,-664751003] 2 [-73421581004007:-1069770374734988:52439613407] 21210b2 [1,1,0,-23722863,44000392293] 4 [-34985631:1250798412:6859] 21210b3 [1,1,0,-4522863,113208712293] 2 [79934751254648683:-29023912239883129888:607860671111] 21210b4 [1,1,0,-378467183,2833780673637] 2 [72011324977331:-25934716670155612:545338513]
21210c (2 curves)	1	2+ 3+ 5+ 7+ 101+	2+ 3+ 5+ 7+  4  2 -8  0
Curve Equation t Generators 21210c1 [1,1,0,-2068,-36452] 2 [-29:28:1] 21210c2 [1,1,0,-32938,-2314658] 2 [1031:32057:1]
21210d (4 curves)	1	2+ 3+ 5+ 7+ 101+	2+ 3+ 5+ 7+ -4  2  6 -8
Curve Equation t Generators 21210d1 [1,1,0,-9943,-385787] 2 [198:2237:1] 21210d2 [1,1,0,-9963,-384183] 4 [162:1431:1] 21210d3 [1,1,0,-3213,-887733] 2 [1246:11823:8] 21210d4 [1,1,0,-17033,222423] 2 [5982:158259:8]
21210e (2 curves)	0	2+ 3+ 5+ 7+ 101-	2+ 3+ 5+ 7+ -2  4  0  4
Curve Equation t 21210e1 [1,1,0,-401418,97715412] 2 21210e2 [1,1,0,-6422538,6262138068] 2
21210f (2 curves)	1	2+ 3+ 5+ 7- 101-	2+ 3+ 5+ 7-  2  4  0 -4
Curve Equation t Generators 21210f1 [1,1,0,-108,252] 2 [2:6:1] 21210f2 [1,1,0,-1578,23478] 2 [23:-8:1]
21210g (2 curves)	0	2+ 3+ 5- 7+ 101+	2+ 3+ 5- 7+  6  4  2  4
Curve Equation t 21210g1 [1,1,0,-4118772,-3219024816] 2 21210g2 [1,1,0,-4254852,-2995118784] 2
21210h (2 curves)	1	2+ 3+ 5- 7+ 101-	2+ 3+ 5- 7+  0 -4  2 -6
Curve Equation t Generators 21210h1 [1,1,0,-3472,77056] 2 [27:49:1] 21210h2 [1,1,0,-1872,150336] 2 [-40:424:1]
21210i (2 curves)	1	2+ 3+ 5- 7+ 101-	2+ 3+ 5- 7+ -2  2  0 -4
Curve Equation t Generators 21210i1 [1,1,0,-777,-8379] 2 [-15:21:1] 21210i2 [1,1,0,343,-29211] 2 [209:2933:1]
21210j (2 curves)	1	2+ 3+ 5- 7+ 101-	2+ 3+ 5- 7+  4 -4  2  2
Curve Equation t Generators 21210j1 [1,1,0,-37,61] 2 [-3:14:1] 21210j2 [1,1,0,63,441] 2 [0:21:1]
21210k (2 curves)	1	2+ 3+ 5- 7- 101+	2+ 3+ 5- 7-  0 -2  2  2
Curve Equation t Generators 21210k1 [1,1,0,-1128052,459179344] 2 [872408376:30774120292:493039] 21210k2 [1,1,0,-610932,882493776] 2 [6632:533884:1]
21210l (2 curves)	1	2+ 3+ 5- 7- 101+	2+ 3+ 5- 7-  0  4  2 -4
Curve Equation t Generators 21210l1 [1,1,0,-6547,201181] 2 [67:-296:1] 21210l2 [1,1,0,-6127,228649] 2 [33:236:1]
21210m (2 curves)	2	2+ 3- 5+ 7+ 101+	2+ 3- 5+ 7+  0 -6 -4 -8
Curve Equation t Generators 21210m1 [1,0,1,-179,-754] 2 [-10:12:1]&[-9:16:1] 21210m2 [1,0,1,-2699,-54178] 2 [-30:16:1]&[60:-2:1]
21210n (4 curves)	0	2+ 3- 5+ 7- 101-	2+ 3- 5+ 7-  0 -4  0 -4
Curve Equation t 21210n1 [1,0,1,-2682194,1690540976] 6 21210n2 [1,0,1,-2668964,1708046912] 6 21210n3 [1,0,1,-3168509,1035137432] 2 21210n4 [1,0,1,10949371,7738306856] 2
21210o (2 curves)	2	2+ 3- 5- 7+ 101-	2+ 3- 5- 7+ -6 -6 -8 -4
Curve Equation t Generators 21210o1 [1,0,1,-6198,184756] 2 [-40:627:1]&[-55:627:1] 21210o2 [1,0,1,-528,511348] 2 [-94006:637900:1331]&[8:708:1]
21210p (2 curves)	0	2+ 3- 5- 7- 101+	2+ 3- 5- 7-  0  4  0 -8
Curve Equation t 21210p1 [1,0,1,-388,386] 2 21210p2 [1,0,1,1532,3458] 2
21210q (2 curves)	0	2+ 3- 5- 7- 101+	2+ 3- 5- 7- -2  4  2  0
Curve Equation t 21210q1 [1,0,1,-1803,28726] 2 21210q2 [1,0,1,-28683,1867318] 2
21210r (4 curves)	1	2+ 3- 5- 7- 101-	2+ 3- 5- 7- -4 -2  2 -8
Curve Equation t Generators 21210r1 [1,0,1,-6913,95156] 2 [-50:587:1] 21210r2 [1,0,1,-56913,-5164844] 4 [-145:282:1] 21210r3 [1,0,1,-6413,-13992244] 4 [297:3064:1] 21210r4 [1,0,1,-907413,-332777444] 2 [-550:282:1]
21210s (2 curves)	0	2- 3+ 5+ 7+ 101+	2- 3+ 5+ 7+  4  4 -2 -6
Curve Equation t 21210s1 [1,1,1,-944181,352579803] 2 21210s2 [1,1,1,-784181,476163803] 2
21210t (2 curves)	1	2- 3+ 5+ 7- 101+	2- 3+ 5+ 7-  6 -2 -4 -4
Curve Equation t Generators 21210t1 [1,1,1,-76,-211] 2 [-7:9:1] 21210t2 [1,1,1,204,-1107] 2 [7:23:1]
21210u (2 curves)	1	2- 3+ 5- 7+ 101+	2- 3+ 5- 7+  0  0 -4  0
Curve Equation t Generators 21210u1 [1,1,1,-12240,-521103] 2 [-63:101:1] 21210u2 [1,1,1,-2520,-1314255] 2 [243:3413:1]
21210v (2 curves)	1	2- 3+ 5- 7+ 101+	2- 3+ 5- 7+ -2  4 -2  0
Curve Equation t Generators 21210v1 [1,1,1,-515,-2095] 2 [-7:38:1] 21210v2 [1,1,1,-4295,105257] 2 [47:76:1]
21210w (4 curves)	0	2- 3+ 5- 7+ 101-	2- 3+ 5- 7+  0  6  2 -4
Curve Equation t 21210w1 [1,1,1,-4645,119915] 4 21210w2 [1,1,1,-4725,115467] 4 21210w3 [1,1,1,4095,507075] 4 21210w4 [1,1,1,-14825,-559213] 2
21210x (4 curves)	1	2- 3+ 5- 7- 101-	2- 3+ 5- 7-  0 -2 -6 -4
Curve Equation t Generators 21210x1 [1,1,1,-226190,-28731445] 4 [-367:2423:1] 21210x2 [1,1,1,-3299470,-2307875893] 4 [-1053:1051:1] 21210x3 [1,1,1,-2981950,-2769422965] 4 [2203:35763:1] 21210x4 [1,1,1,-52789470,-147650107893] 2 [10567:683621:1]
21210y (2 curves)	1	2- 3+ 5- 7- 101-	2- 3+ 5- 7- -2 -2 -4 -4
Curve Equation t Generators 21210y1 [1,1,1,-104635,12954185] 2 [175:114:1] 21210y2 [1,1,1,-64315,23098697] 2 [-233:5166:1]
21210z (4 curves)	1	2- 3+ 5- 7- 101-	2- 3+ 5- 7- -4 -2 -2  4
Curve Equation t Generators 21210z1 [1,1,1,-7735,258557] 4 [-75:688:1] 21210z2 [1,1,1,-8715,187605] 4 [-2067:18380:27] 21210z3 [1,1,1,26635,1361225] 2 [-76584:15259975:13824] 21210z4 [1,1,1,-59745,-5507343] 2 [2766:29923:8]
21210ba (4 curves)	0	2- 3- 5+ 7- 101+	2- 3- 5+ 7-  4  2 -2 -4
Curve Equation t 21210ba1 [1,0,0,-1126,-14620] 2 21210ba2 [1,0,0,-1446,-5724] 4 21210ba3 [1,0,0,5554,-43524] 2 21210ba4 [1,0,0,-13566,602700] 2
21210bb (2 curves)	0	2- 3- 5- 7+ 101+	2- 3- 5- 7+  0  6  2 -6
Curve Equation t 21210bb1 [1,0,0,-830,-8268] 2 21210bb2 [1,0,0,1190,-41800] 2
21210bc (2 curves)	0	2- 3- 5- 7+ 101+	2- 3- 5- 7+ -4  4  2  4
Curve Equation t 21210bc1 [1,0,0,-100155,-11980143] 2 21210bc2 [1,0,0,7365,-36344175] 2
21210bd (4 curves)	1	2- 3- 5- 7- 101+	2- 3- 5- 7- -6 -4  6 -4
Curve Equation t Generators 21210bd1 [1,0,0,-4295,86025] 6 [-50:445:1] 21210bd2 [1,0,0,-64775,6339657] 6 [148:-59:1] 21210bd3 [1,0,0,-108695,-13794855] 2 [-188:157:1] 21210bd4 [1,0,0,-129275,-8209443] 2 [498:6891:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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