Cremona's table of elliptic curves

35190 = 2 · 3² · 5 · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
35190a (1 curve)	1	2+ 3+ 5+ 17- 23-	2+ 3+ 5+  2 -1 -1 17- -1
Curve Equation t Generators 35190a1 [1,-1,0,-795,-8779] 1 [43:166:1]
35190b (2 curves)	1	2+ 3+ 5+ 17- 23-	2+ 3+ 5+ -2 -4  2 17- -8
Curve Equation t Generators 35190b1 [1,-1,0,-3630,293076] 2 [-15:594:1] 35190b2 [1,-1,0,-91950,10732500] 2 [156:330:1]
35190c (2 curves)	0	2+ 3+ 5- 17+ 23+	2+ 3+ 5-  2  2  0 17+  4
Curve Equation t 35190c1 [1,-1,0,-3714,219680] 2 35190c2 [1,-1,0,-81744,9005858] 2
35190d (1 curve)	0	2+ 3+ 5- 17+ 23+	2+ 3+ 5- -2  5 -5 17+ -7
Curve Equation t 35190d1 [1,-1,0,-519144,-143872192] 1
35190e (1 curve)	1	2+ 3+ 5- 17+ 23-	2+ 3+ 5-  2 -1 -5 17+  1
Curve Equation t Generators 35190e1 [1,-1,0,15861,-67627] 1 [22:529:1]
35190f (2 curves)	2	2+ 3+ 5- 17- 23-	2+ 3+ 5- -4 -4 -4 17- -4
Curve Equation t Generators 35190f1 [1,-1,0,-774,8768] 2 [2:-86:1]&[-8:124:1] 35190f2 [1,-1,0,-12504,541310] 2 [61:22:1]&[-29:952:1]
35190g (1 curve)	0	2+ 3- 5+ 17+ 23+	2+ 3- 5+  0  2  1 17+  1
Curve Equation t 35190g1 [1,-1,0,-14805,710005] 1
35190h (1 curve)	0	2+ 3- 5+ 17+ 23+	2+ 3- 5+ -2  2  1 17+  1
Curve Equation t 35190h1 [1,-1,0,11970,-559980] 1
35190i (4 curves)	1	2+ 3- 5+ 17+ 23-	2+ 3- 5+ -4  0 -2 17+ -4
Curve Equation t Generators 35190i1 [1,-1,0,-10665,419661] 2 [75:156:1] 35190i2 [1,-1,0,-22185,-637875] 4 [-110:735:1] 35190i3 [1,-1,0,75015,-4778595] 2 [78:1203:1] 35190i4 [1,-1,0,-303705,-64317699] 2 [-317:321:1]
35190j (4 curves)	1	2+ 3- 5+ 17+ 23-	2+ 3- 5+ -4  4 -6 17+  4
Curve Equation t Generators 35190j1 [1,-1,0,-1980,138496] 2 [-28:428:1] 35190j2 [1,-1,0,-54000,4830700] 4 [-130:3170:1] 35190j3 [1,-1,0,-76950,346270] 2 [-147:2983:1] 35190j4 [1,-1,0,-863370,308991946] 2 [537:-257:1]
35190k (1 curve)	0	2+ 3- 5+ 17- 23-	2+ 3- 5+  0 -1  1 17-  7
Curve Equation t 35190k1 [1,-1,0,547478190,1730571787800] 1
35190l (1 curve)	0	2+ 3- 5+ 17- 23-	2+ 3- 5+  0 -1 -4 17-  2
Curve Equation t 35190l1 [1,-1,0,-540,-4784] 1
35190m (1 curve)	0	2+ 3- 5+ 17- 23-	2+ 3- 5+  2 -1 -4 17- -4
Curve Equation t 35190m1 [1,-1,0,3000,584000] 1
35190n (1 curve)	0	2+ 3- 5+ 17- 23-	2+ 3- 5+ -2 -1 -4 17- -8
Curve Equation t 35190n1 [1,-1,0,-69002550,-220603230000] 1
35190o (1 curve)	0	2+ 3- 5+ 17- 23-	2+ 3- 5+ -2  2  5 17- -5
Curve Equation t 35190o1 [1,-1,0,-315,-2619] 1
35190p (1 curve)	0	2+ 3- 5+ 17- 23-	2+ 3- 5+ -2  6  3 17- -1
Curve Equation t 35190p1 [1,-1,0,360,12096] 1
35190q (4 curves)	0	2+ 3- 5+ 17- 23-	2+ 3- 5+  4  0  6 17- -4
Curve Equation t 35190q1 [1,-1,0,22410,-852444] 2 35190q2 [1,-1,0,-108810,-7387200] 4 35190q3 [1,-1,0,-811080,276189426] 2 35190q4 [1,-1,0,-1506060,-710762850] 2
35190r (2 curves)	0	2+ 3- 5+ 17- 23-	2+ 3- 5+ -4 -6  5 17- -1
Curve Equation t 35190r1 [1,-1,0,-120205530,675671195700] 1 35190r2 [1,-1,0,-10608474330,420562225584180] 3
35190s (1 curve)	1	2+ 3- 5- 17+ 23+	2+ 3- 5-  0  1 -3 17+  1
Curve Equation t Generators 35190s1 [1,-1,0,534771,-27655077915] 1 [1543377654:-34521475707:493039]
35190t (2 curves)	0	2+ 3- 5- 17+ 23-	2+ 3- 5- -1  0 -4 17+  5
Curve Equation t 35190t1 [1,-1,0,621,1485] 1 35190t2 [1,-1,0,-10089,406323] 3
35190u (4 curves)	0	2+ 3- 5- 17- 23+	2+ 3- 5-  0  4  6 17-  4
Curve Equation t 35190u1 [1,-1,0,-116514,135046548] 2 35190u2 [1,-1,0,-4724514,3931116948] 4 35190u3 [1,-1,0,-7705314,-1625690412] 2 35190u4 [1,-1,0,-75471714,252381133908] 2
35190v (1 curve)	0	2+ 3- 5- 17- 23+	2+ 3- 5-  1 -4 -4 17-  1
Curve Equation t 35190v1 [1,-1,0,-774,-9932] 1
35190w (2 curves)	0	2+ 3- 5- 17- 23+	2+ 3- 5- -2  2  2 17-  4
Curve Equation t 35190w1 [1,-1,0,13761,138685] 2 35190w2 [1,-1,0,-56619,1166233] 2
35190x (1 curve)	0	2+ 3- 5- 17- 23+	2+ 3- 5- -3  0  4 17- -1
Curve Equation t 35190x1 [1,-1,0,-918099,-338370507] 1
35190y (4 curves)	0	2+ 3- 5- 17- 23+	2+ 3- 5- -4  6 -4 17- -4
Curve Equation t 35190y1 [1,-1,0,251912196,-163510885872] 2 35190y2 [1,-1,0,-1013942484,-1311134738760] 2 35190y3 [1,-1,0,-3241995264,77689544565420] 6 35190y4 [1,-1,0,-53206763094,4723843354402158] 6
35190z (2 curves)	1	2+ 3- 5- 17- 23-	2+ 3- 5- -2  2  2 17-  4
Curve Equation t Generators 35190z1 [1,-1,0,-4059,-153387] 2 [147:-1626:1] 35190z2 [1,-1,0,-74439,-7796655] 2 [-159:102:1]
35190ba (2 curves)	1	2+ 3- 5- 17- 23-	2+ 3- 5- -4  3  5 17- -1
Curve Equation t Generators 35190ba1 [1,-1,0,-33669,-2373867] 1 [282:3099:1] 35190ba2 [1,-1,0,58671,-11859615] 3 [156:957:1]
35190bb (2 curves)	0	2- 3+ 5+ 17+ 23+	2- 3+ 5+ -4  4 -4 17+ -4
Curve Equation t 35190bb1 [1,-1,1,-6968,-229769] 2 35190bb2 [1,-1,1,-112538,-14502833] 2
35190bc (1 curve)	1	2- 3+ 5+ 17- 23+	2- 3+ 5+  2  1 -5 17-  1
Curve Equation t Generators 35190bc1 [1,-1,1,1762,1917] 1 [3:83:1]
35190bd (2 curves)	0	2- 3+ 5+ 17- 23-	2- 3+ 5+  2 -2  0 17-  4
Curve Equation t 35190bd1 [1,-1,1,-413,-7999] 2 35190bd2 [1,-1,1,-9083,-330523] 2
35190be (1 curve)	2	2- 3+ 5+ 17- 23-	2- 3+ 5+ -2 -5 -5 17- -7
Curve Equation t Generators 35190be1 [1,-1,1,-57683,5347827] 1 [-277:258:1]&[137:-18:1]
35190bf (1 curve)	1	2- 3+ 5- 17+ 23+	2- 3+ 5-  2  1 -1 17+ -1
Curve Equation t Generators 35190bf1 [1,-1,1,-7157,244189] 1 [97:-724:1]
35190bg (2 curves)	1	2- 3+ 5- 17+ 23+	2- 3+ 5- -2  4  2 17+ -8
Curve Equation t Generators 35190bg1 [1,-1,1,-32672,-7880381] 2 [437:-8039:1] 35190bg2 [1,-1,1,-827552,-288949949] 2 [-539:809:1]
35190bh (1 curve)	0	2- 3- 5+ 17+ 23-	2- 3- 5+ -2 -2  1 17+ -1
Curve Equation t 35190bh1 [1,-1,1,-16403,-804909] 1
35190bi (1 curve)	0	2- 3- 5+ 17+ 23-	2- 3- 5+ -2 -2 -5 17+ -1
Curve Equation t 35190bi1 [1,-1,1,1642,22731] 1
35190bj (2 curves)	0	2- 3- 5+ 17+ 23-	2- 3- 5+ -2 -2  6 17+  4
Curve Equation t 35190bj1 [1,-1,1,994751797,56743535002331] 2 35190bj2 [1,-1,1,-17454942923,830944384598747] 2
35190bk (4 curves)	0	2- 3- 5+ 17+ 23-	2- 3- 5+  4  4  6 17+  4
Curve Equation t 35190bk1 [1,-1,1,-1148,15167] 2 35190bk2 [1,-1,1,-1868,-5569] 4 35190bk3 [1,-1,1,7312,-49633] 2 35190bk4 [1,-1,1,-22568,-1297249] 2
35190bl (2 curves)	0	2- 3- 5+ 17- 23+	2- 3- 5+  2  6 -1 17-  5
Curve Equation t 35190bl1 [1,-1,1,607,18682481] 1 35190bl2 [1,-1,1,-5303768,4703040731] 3
35190bm (1 curve)	2	2- 3- 5+ 17- 23+	2- 3- 5+ -4 -3 -7 17-  1
Curve Equation t Generators 35190bm1 [1,-1,1,202,6981] 1 [5:87:1]&[-13:51:1]
35190bn (1 curve)	0	2- 3- 5+ 17- 23+	2- 3- 5+ -4  6 -1 17-  1
Curve Equation t 35190bn1 [1,-1,1,-37418,-2776593] 1
35190bo (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+  2 -5  0 17-  4
Curve Equation t Generators 35190bo1 [1,-1,1,-475763,126655967] 1 [31:10564:1]
35190bp (2 curves)	0	2- 3- 5- 17+ 23+	2- 3- 5-  0  4  2 17+  2
Curve Equation t 35190bp1 [1,-1,1,-77,1329] 2 35190bp2 [1,-1,1,-2327,43629] 2
35190bq (1 curve)	0	2- 3- 5- 17+ 23+	2- 3- 5- -4 -2  3 17+  3
Curve Equation t 35190bq1 [1,-1,1,-2684927,-1693539449] 1
35190br (2 curves)	1	2- 3- 5- 17+ 23-	2- 3- 5-  2 -3 -4 17+ -4
Curve Equation t Generators 35190br1 [1,-1,1,-77,-1951] 1 [13131:27818:729] 35190br2 [1,-1,1,688,52211] 3 [-29:99:1]
35190bs (4 curves)	1	2- 3- 5- 17- 23+	2- 3- 5-  0  0 -2 17- -4
Curve Equation t Generators 35190bs1 [1,-1,1,4817713,-9433955689] 4 [1531:38334:1] 35190bs2 [1,-1,1,-48450767,-113435336041] 4 [-4773:97606:1] 35190bs3 [1,-1,1,-201450767,986145063959] 2 [11907:518926:1] 35190bs4 [1,-1,1,-747746447,-7869743300329] 2 [81811:-21915906:1]
35190bt (1 curve)	0	2- 3- 5- 17- 23-	2- 3- 5- -2 -2  1 17-  7
Curve Equation t 35190bt1 [1,-1,1,-1247,-19231] 1
35190bu (4 curves)	0	2- 3- 5- 17- 23-	2- 3- 5-  4  4 -2 17-  4
Curve Equation t 35190bu1 [1,-1,1,-18077,2369189] 4 35190bu2 [1,-1,1,-398957,96979781] 4 35190bu3 [1,-1,1,-510737,38362349] 2 35190bu4 [1,-1,1,-6381257,6206104541] 2
35190bv (1 curve)	0	2- 3- 5- 17- 23-	2- 3- 5-  4  6  7 17-  5
Curve Equation t 35190bv1 [1,-1,1,-3542,-453819] 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
Back to Tables and computations