Cremona's table of elliptic curves

35520 = 2⁶ · 3 · 5 · 37

Class	r	Atkin-Lehner	Eigenvalues
35520a (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+ -1 -3 -6  1 -6
Curve Equation t Generators 35520a1 [0,-1,0,-1761,-28575] 1 [51:108:1]
35520b (2 curves)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  2  0  1  6 -2
Curve Equation t Generators 35520b1 [0,-1,0,-9621,-373329] 1 [474830718974:-11816899336643:746142643] 35520b2 [0,-1,0,-787221,-268577289] 1 [42919179056511039864966702573614054458:-31552838964027363579724403853113812981:41868795747812533929094398479630261]
35520c (1 curve)	1	2+ 3+ 5+ 37+	2+ 3+ 5+ -2 -6  5  4  4
Curve Equation t Generators 35520c1 [0,-1,0,9,405] 1 [-4:17:1]
35520d (4 curves)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  4  4  2 -2  0
Curve Equation t Generators 35520d1 [0,-1,0,-556,2350] 2 [-102:679:8] 35520d2 [0,-1,0,-7401,247401] 4 [-49:700:1] 35520d3 [0,-1,0,-5921,347745] 2 [344:6237:1] 35520d4 [0,-1,0,-118401,15720801] 2 [395:5516:1]
35520e (4 curves)	1	2+ 3+ 5+ 37+	2+ 3+ 5+ -4 -6 -2 -6 -2
Curve Equation t Generators 35520e1 [0,-1,0,-20001,1345185] 2 [83:500:1] 35520e2 [0,-1,0,-340001,76417185] 2 [281:1728:1] 35520e3 [0,-1,0,147999,-11187615] 2 [563:15820:1] 35520e4 [0,-1,0,-671201,-94254495] 2 [-439:10752:1]
35520f (2 curves)	0	2+ 3+ 5+ 37-	2+ 3+ 5+  0  0 -2 -2  2
Curve Equation t 35520f1 [0,-1,0,664,6786] 2 35520f2 [0,-1,0,-3961,68761] 2
35520g (1 curve)	0	2+ 3+ 5+ 37-	2+ 3+ 5+ -2  0  3  2 -2
Curve Equation t 35520g1 [0,-1,0,59,-419] 1
35520h (1 curve)	0	2+ 3+ 5+ 37-	2+ 3+ 5+  3  1 -3  3  7
Curve Equation t 35520h1 [0,-1,0,-491841,-134888895] 1
35520i (1 curve)	2	2+ 3+ 5+ 37-	2+ 3+ 5+ -3 -3 -2  3  2
Curve Equation t Generators 35520i1 [0,-1,0,-16801,-1349759] 1 [189:1480:1]&[205:1944:1]
35520j (4 curves)	2	2+ 3+ 5- 37+	2+ 3+ 5-  0 -4 -6 -2 -4
Curve Equation t Generators 35520j1 [0,-1,0,-1245,17325] 2 [-15:180:1]&[12:63:1] 35520j2 [0,-1,0,-1425,12177] 4 [-31:160:1]&[-21:180:1] 35520j3 [0,-1,0,4575,82977] 2 [-1:280:1]&[19:420:1] 35520j4 [0,-1,0,-10305,-390975] 2 [-55:80:1]&[131:700:1]
35520k (1 curve)	2	2+ 3+ 5- 37+	2+ 3+ 5- -1  1 -6 -5 -6
Curve Equation t Generators 35520k1 [0,-1,0,-3425,90177] 1 [-67:120:1]&[109:-1000:1]
35520l (2 curves)	0	2+ 3+ 5- 37+	2+ 3+ 5- -1 -3 -2  3 -2
Curve Equation t 35520l1 [0,-1,0,-5337345,-6330674943] 1 35520l2 [0,-1,0,-471298305,-3937990110975] 1
35520m (2 curves)	0	2+ 3+ 5- 37+	2+ 3+ 5- -1 -3  7 -3  1
Curve Equation t 35520m1 [0,-1,0,8095,-767775] 1 35520m2 [0,-1,0,-453665,-117607263] 1
35520n (2 curves)	0	2+ 3+ 5- 37+	2+ 3+ 5-  2  0  1  6 -2
Curve Equation t 35520n1 [0,-1,0,-7445,474957] 1 35520n2 [0,-1,0,63595,-9527475] 1
35520o (1 curve)	0	2+ 3+ 5- 37+	2+ 3+ 5- -2 -2 -3 -4  4
Curve Equation t 35520o1 [0,-1,0,-4575,123705] 1
35520p (2 curves)	0	2+ 3+ 5- 37+	2+ 3+ 5-  4  2 -2 -2 -2
Curve Equation t 35520p1 [0,-1,0,-65,2625] 2 35520p2 [0,-1,0,-3265,72385] 2
35520q (1 curve)	1	2+ 3+ 5- 37-	2+ 3+ 5-  1  5 -2  1 -6
Curve Equation t Generators 35520q1 [0,-1,0,-11745,31144545] 1 [627:16428:1]
35520r (1 curve)	1	2+ 3+ 5- 37-	2+ 3+ 5- -2 -4 -5 -2 -6
Curve Equation t Generators 35520r1 [0,-1,0,-5,-225] 1 [10:25:1]
35520s (4 curves)	1	2+ 3+ 5- 37-	2+ 3+ 5-  4 -4 -2 -2  0
Curve Equation t Generators 35520s1 [0,-1,0,-12488865,16991784225] 2 [-2055:184320:1] 35520s2 [0,-1,0,-12509345,16933281057] 4 [-2056:184275:1] 35520s3 [0,-1,0,-4837025,37475150625] 4 [-572600:-69363125:343] 35520s4 [0,-1,0,-20509345,-7353118943] 2 [-711:82880:1]
35520t (1 curve)	1	2+ 3+ 5- 37-	2+ 3+ 5- -5  5  1 -5  3
Curve Equation t Generators 35520t1 [0,-1,0,-17985,1226817] 1 [209:2560:1]
35520u (4 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  0  0 -6  2  8
Curve Equation t 35520u1 [0,1,0,-82001,9508815] 2 35520u2 [0,1,0,-1332001,591258815] 4 35520u3 [0,1,0,-1352001,572566815] 2 35520u4 [0,1,0,-21312001,37861950815] 2
35520v (6 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  0 -4  2  2 -4
Curve Equation t 35520v1 [0,1,0,-54081,16646175] 2 35520v2 [0,1,0,-1364801,611975199] 4 35520v3 [0,1,0,-1876801,110522399] 4 35520v4 [0,1,0,-21824321,39235457055] 2 35520v5 [0,1,0,7454399,888744479] 2 35520v6 [0,1,0,-19400001,-32752486881] 2
35520w (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+  2  6  5  4 -4
Curve Equation t 35520w1 [0,1,0,9,-405] 1
35520x (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+  3 -1 -1 -1  5
Curve Equation t 35520x1 [0,1,0,-55361,-5032161] 1
35520y (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+  3  5  2 -7  2
Curve Equation t 35520y1 [0,1,0,12959,-290305] 1
35520z (4 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+ -4 -4  2 -2  0
Curve Equation t 35520z1 [0,1,0,-556,-2350] 2 35520z2 [0,1,0,-7401,-247401] 4 35520z3 [0,1,0,-5921,-347745] 2 35520z4 [0,1,0,-118401,-15720801] 2
35520ba (2 curves)	1	2+ 3- 5+ 37-	2+ 3- 5+  0  0 -2 -2 -2
Curve Equation t Generators 35520ba1 [0,1,0,664,-6786] 2 [157:1998:1] 35520ba2 [0,1,0,-3961,-68761] 2 [-46:135:1]
35520bb (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+  3  3 -2  3 -2
Curve Equation t Generators 35520bb1 [0,1,0,-16801,1349759] 1 [107:888:1]
35520bc (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -3  5  2  3  6
Curve Equation t Generators 35520bc1 [0,1,0,-8321,294879] 1 [-53:768:1]
35520bd (4 curves)	1	2+ 3- 5- 37+	2+ 3- 5-  0  0  2 -2  4
Curve Equation t Generators 35520bd1 [0,1,0,15,-1617] 2 [101:1020:1] 35520bd2 [0,1,0,-1985,-34017] 4 [2847:26180:27] 35520bd3 [0,1,0,-4385,61503] 2 [273464142:3219358197:1685159] 35520bd4 [0,1,0,-31585,-2171137] 2 [-672795706:2262519:6539203]
35520be (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5-  1 -1 -6 -5  6
Curve Equation t Generators 35520be1 [0,1,0,-3425,-90177] 1 [91:600:1]
35520bf (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5-  2  2 -3 -4 -4
Curve Equation t Generators 35520bf1 [0,1,0,-4575,-123705] 1 [78:9:1]
35520bg (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5-  3  3  3 -1 -7
Curve Equation t Generators 35520bg1 [0,1,0,-1345,70943] 1 [11:-240:1]
35520bh (2 curves)	0	2+ 3- 5- 37-	2+ 3- 5-  0  2  2  6 -6
Curve Equation t 35520bh1 [0,1,0,-73345,-12097057] 2 35520bh2 [0,1,0,-1353345,-606273057] 2
35520bi (2 curves)	0	2+ 3- 5- 37-	2+ 3- 5-  0 -2 -6  6 -2
Curve Equation t 35520bi1 [0,1,0,95,575] 2 35520bi2 [0,1,0,-705,5535] 2
35520bj (1 curve)	0	2+ 3- 5- 37-	2+ 3- 5-  1  1 -2 -7  2
Curve Equation t 35520bj1 [0,1,0,95,-1345] 1
35520bk (1 curve)	0	2+ 3- 5- 37-	2+ 3- 5-  2 -4 -5 -2 -2
Curve Equation t 35520bk1 [0,1,0,-1365,-19917] 1
35520bl (1 curve)	0	2+ 3- 5- 37-	2+ 3- 5-  3  3  5  5 -1
Curve Equation t 35520bl1 [0,1,0,-225,2175] 1
35520bm (2 curves)	0	2+ 3- 5- 37-	2+ 3- 5-  4  4 -2  2  2
Curve Equation t 35520bm1 [0,1,0,-30725,-2083125] 2 35520bm2 [0,1,0,-29105,-2310897] 2
35520bn (4 curves)	0	2+ 3- 5- 37-	2+ 3- 5- -4  4 -2  6  8
Curve Equation t 35520bn1 [0,1,0,-2225,39663] 2 35520bn2 [0,1,0,-2305,36575] 4 35520bn3 [0,1,0,3615,198783] 4 35520bn4 [0,1,0,-9505,-321985] 2
35520bo (4 curves)	0	2+ 3- 5- 37-	2+ 3- 5- -4 -4 -2 -2 -8
Curve Equation t 35520bo1 [0,1,0,-91096865,-314736003777] 2 35520bo2 [0,1,0,-1433274145,-20885750303425] 4 35520bo3 [0,1,0,-1409025825,-21626502531777] 4 35520bo4 [0,1,0,-22932358945,-1336668438416065] 2
35520bp (4 curves)	0	2- 3+ 5+ 37+	2- 3+ 5+  0  0 -6  2 -8
Curve Equation t 35520bp1 [0,-1,0,-82001,-9508815] 2 35520bp2 [0,-1,0,-1332001,-591258815] 4 35520bp3 [0,-1,0,-1352001,-572566815] 2 35520bp4 [0,-1,0,-21312001,-37861950815] 2
35520bq (6 curves)	0	2- 3+ 5+ 37+	2- 3+ 5+  0  4  2  2  4
Curve Equation t 35520bq1 [0,-1,0,-54081,-16646175] 2 35520bq2 [0,-1,0,-1364801,-611975199] 4 35520bq3 [0,-1,0,-1876801,-110522399] 4 35520bq4 [0,-1,0,-21824321,-39235457055] 2 35520bq5 [0,-1,0,7454399,-888744479] 2 35520bq6 [0,-1,0,-19400001,32752486881] 2
35520br (1 curve)	2	2- 3+ 5+ 37+	2- 3+ 5+ -3  1 -1 -1 -5
Curve Equation t Generators 35520br1 [0,-1,0,-55361,5032161] 1 [91:860:1]&[133:64:1]
35520bs (1 curve)	2	2- 3+ 5+ 37+	2- 3+ 5+ -3 -5  2 -7 -2
Curve Equation t Generators 35520bs1 [0,-1,0,12959,290305] 1 [109:1728:1]&[-19:192:1]
35520bt (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  1  5 -3 -3  5
Curve Equation t Generators 35520bt1 [0,-1,0,479,-1055] 1 [3:20:1]
35520bu (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  2  2 -1  0  4
Curve Equation t Generators 35520bu1 [0,-1,0,-11,21] 1 [4:5:1]
35520bv (1 curve)	1	2- 3+ 5+ 37-	2- 3+ 5+  3 -5  2  3 -6
Curve Equation t Generators 35520bv1 [0,-1,0,-8321,-294879] 1 [128:849:1]
35520bw (2 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+ -4 -2  2  2  6
Curve Equation t Generators 35520bw1 [0,-1,0,999,-999] 2 [5:64:1] 35520bw2 [0,-1,0,-4001,-3999] 2 [-55:216:1]
35520bx (4 curves)	1	2- 3+ 5- 37+	2- 3+ 5-  0  0  2 -2 -4
Curve Equation t Generators 35520bx1 [0,-1,0,15,1617] 2 [-1:40:1] 35520bx2 [0,-1,0,-1985,34017] 4 [39:120:1] 35520bx3 [0,-1,0,-4385,-61503] 2 [87:456:1] 35520bx4 [0,-1,0,-31585,2171137] 2 [986:2943:8]
35520by (1 curve)	1	2- 3+ 5- 37+	2- 3+ 5- -3 -3  3 -1  7
Curve Equation t Generators 35520by1 [0,-1,0,-1345,-70943] 1 [69:400:1]
35520bz (4 curves)	1	2- 3+ 5- 37+	2- 3+ 5- -4 -4  2 -2 -4
Curve Equation t Generators 35520bz1 [0,-1,0,-1340,-18438] 2 [43:40:1] 35520bz2 [0,-1,0,-1465,-14663] 4 [-21:80:1] 35520bz3 [0,-1,0,3935,-102143] 2 [87:944:1] 35520bz4 [0,-1,0,-8865,312417] 2 [127:1104:1]
35520ca (4 curves)	0	2- 3+ 5- 37-	2- 3+ 5-  0  0 -2  6  4
Curve Equation t 35520ca1 [0,-1,0,3980,140650] 2 35520ca2 [0,-1,0,-28825,1498777] 4 35520ca3 [0,-1,0,-148705,-20726975] 2 35520ca4 [0,-1,0,-433825,110119777] 4
35520cb (2 curves)	0	2- 3+ 5- 37-	2- 3+ 5-  0  2 -6  6  2
Curve Equation t 35520cb1 [0,-1,0,95,-575] 2 35520cb2 [0,-1,0,-705,-5535] 2
35520cc (2 curves)	0	2- 3+ 5- 37-	2- 3+ 5-  0 -2  2  6  6
Curve Equation t 35520cc1 [0,-1,0,-73345,12097057] 2 35520cc2 [0,-1,0,-1353345,606273057] 2
35520cd (1 curve)	2	2- 3+ 5- 37-	2- 3+ 5- -1 -1 -2 -7 -2
Curve Equation t Generators 35520cd1 [0,-1,0,95,1345] 1 [-8:3:1]&[-3:32:1]
35520ce (1 curve)	0	2- 3+ 5- 37-	2- 3+ 5-  2  2 -1  4  0
Curve Equation t 35520ce1 [0,-1,0,-4035,-98775] 1
35520cf (1 curve)	0	2- 3+ 5- 37-	2- 3+ 5- -2  4 -5 -2  2
Curve Equation t 35520cf1 [0,-1,0,-1365,19917] 1
35520cg (1 curve)	0	2- 3+ 5- 37-	2- 3+ 5- -3 -3  5  5  1
Curve Equation t 35520cg1 [0,-1,0,-225,-2175] 1
35520ch (4 curves)	0	2- 3+ 5- 37-	2- 3+ 5-  4  4 -2 -2  8
Curve Equation t 35520ch1 [0,-1,0,-91096865,314736003777] 2 35520ch2 [0,-1,0,-1433274145,20885750303425] 4 35520ch3 [0,-1,0,-1409025825,21626502531777] 2 35520ch4 [0,-1,0,-22932358945,1336668438416065] 4
35520ci (4 curves)	0	2- 3+ 5- 37-	2- 3+ 5-  4 -4 -2  6 -8
Curve Equation t 35520ci1 [0,-1,0,-2225,-39663] 2 35520ci2 [0,-1,0,-2305,-36575] 4 35520ci3 [0,-1,0,3615,-198783] 2 35520ci4 [0,-1,0,-9505,321985] 4
35520cj (2 curves)	2	2- 3+ 5- 37-	2- 3+ 5- -4 -4 -2  2 -2
Curve Equation t Generators 35520cj1 [0,-1,0,-30725,2083125] 2 [105:-60:1]&[-68:1963:1] 35520cj2 [0,-1,0,-29105,2310897] 2 [-151:1800:1]&[-111:2040:1]
35520ck (1 curve)	0	2- 3+ 5- 37-	2- 3+ 5-  5  1 -7 -7 -3
Curve Equation t 35520ck1 [0,-1,0,166724255,-416116106975] 1
35520cl (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  1  3 -6  1  6
Curve Equation t Generators 35520cl1 [0,1,0,-1761,28575] 1 [39:144:1]
35520cm (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -2  0  1  6  2
Curve Equation t Generators 35520cm1 [0,1,0,-9621,373329] 1 [72:-243:1] 35520cm2 [0,1,0,-787221,268577289] 1 [512:3:1]
35520cn (4 curves)	1	2- 3- 5+ 37+	2- 3- 5+  4  6 -2 -6  2
Curve Equation t Generators 35520cn1 [0,1,0,-20001,-1345185] 2 [370227:688128:2197] 35520cn2 [0,1,0,-340001,-76417185] 2 [679:2496:1] 35520cn3 [0,1,0,147999,11187615] 2 [-434041748232807:4976920338890752:6277363000623] 35520cn4 [0,1,0,-671201,94254495] 2 [59011093:186481152:79507]
35520co (1 curve)	2	2- 3- 5+ 37-	2- 3- 5+ -1 -5 -3 -3 -5
Curve Equation t Generators 35520co1 [0,1,0,479,1055] 1 [-1:24:1]&[2:45:1]
35520cp (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  2  0  3  2  2
Curve Equation t 35520cp1 [0,1,0,59,419] 1
35520cq (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+ -2 -2 -1  0 -4
Curve Equation t 35520cq1 [0,1,0,-11,-21] 1
35520cr (1 curve)	2	2- 3- 5+ 37-	2- 3- 5+ -3 -1 -3  3 -7
Curve Equation t Generators 35520cr1 [0,1,0,-491841,134888895] 1 [-753:8880:1]&[-603:14580:1]
35520cs (2 curves)	0	2- 3- 5+ 37-	2- 3- 5+  4  2  2  2 -6
Curve Equation t 35520cs1 [0,1,0,999,999] 2 35520cs2 [0,1,0,-4001,3999] 2
35520ct (4 curves)	0	2- 3- 5- 37+	2- 3- 5-  0  4 -6 -2  4
Curve Equation t 35520ct1 [0,1,0,-1245,-17325] 2 35520ct2 [0,1,0,-1425,-12177] 4 35520ct3 [0,1,0,4575,-82977] 2 35520ct4 [0,1,0,-10305,390975] 2
35520cu (2 curves)	0	2- 3- 5- 37+	2- 3- 5-  1  3 -2  3  2
Curve Equation t 35520cu1 [0,1,0,-5337345,6330674943] 1 35520cu2 [0,1,0,-471298305,3937990110975] 1
35520cv (2 curves)	0	2- 3- 5- 37+	2- 3- 5-  1  3  7 -3 -1
Curve Equation t 35520cv1 [0,1,0,8095,767775] 1 35520cv2 [0,1,0,-453665,117607263] 1
35520cw (2 curves)	0	2- 3- 5- 37+	2- 3- 5- -2  0  1  6  2
Curve Equation t 35520cw1 [0,1,0,-7445,-474957] 1 35520cw2 [0,1,0,63595,9527475] 1
35520cx (4 curves)	0	2- 3- 5- 37+	2- 3- 5-  4  4  2 -2  4
Curve Equation t 35520cx1 [0,1,0,-1340,18438] 2 35520cx2 [0,1,0,-1465,14663] 4 35520cx3 [0,1,0,3935,102143] 2 35520cx4 [0,1,0,-8865,-312417] 2
35520cy (2 curves)	0	2- 3- 5- 37+	2- 3- 5- -4 -2 -2 -2  2
Curve Equation t 35520cy1 [0,1,0,-65,-2625] 2 35520cy2 [0,1,0,-3265,-72385] 2
35520cz (4 curves)	1	2- 3- 5- 37-	2- 3- 5-  0  0 -2  6 -4
Curve Equation t Generators 35520cz1 [0,1,0,3980,-140650] 2 [65:630:1] 35520cz2 [0,1,0,-28825,-1498777] 4 [-109:600:1] 35520cz3 [0,1,0,-148705,20726975] 4 [275:840:1] 35520cz4 [0,1,0,-433825,-110119777] 2 [-379:60:1]
35520da (1 curve)	1	2- 3- 5- 37-	2- 3- 5- -1 -5 -2  1  6
Curve Equation t Generators 35520da1 [0,1,0,-11745,-31144545] 1 [24141:700928:27]
35520db (1 curve)	1	2- 3- 5- 37-	2- 3- 5-  2  4 -5 -2  6
Curve Equation t Generators 35520db1 [0,1,0,-5,225] 1 [0:15:1]
35520dc (1 curve)	1	2- 3- 5- 37-	2- 3- 5- -2 -2 -1  4  0
Curve Equation t Generators 35520dc1 [0,1,0,-4035,98775] 1 [30:75:1]
35520dd (4 curves)	1	2- 3- 5- 37-	2- 3- 5- -4  4 -2 -2  0
Curve Equation t Generators 35520dd1 [0,1,0,-12488865,-16991784225] 2 [63495:-15974400:1] 35520dd2 [0,1,0,-12509345,-16933281057] 4 [-1919:3000:1] 35520dd3 [0,1,0,-4837025,-37475150625] 2 [31850:639375:8] 35520dd4 [0,1,0,-20509345,7353118943] 4 [-4654:44955:1]
35520de (1 curve)	1	2- 3- 5- 37-	2- 3- 5-  5 -5  1 -5 -3
Curve Equation t Generators 35520de1 [0,1,0,-17985,-1226817] 1 [303:-4608:1]
35520df (1 curve)	1	2- 3- 5- 37-	2- 3- 5- -5 -1 -7 -7  3
Curve Equation t Generators 35520df1 [0,1,0,166724255,416116106975] 1 [14735:2464200:1]

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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