Cremona's table of elliptic curves

16758 = 2 · 3² · 7² · 19

Class	r	Atkin-Lehner	Eigenvalues
16758a (4 curves)	0	2+ 3+ 7- 19+	2+ 3+  0 7-  0 -2  6 19+
Curve Equation t 16758a1 [1,-1,0,-33672,-2355956] 2 16758a2 [1,-1,0,-537882,-151702958] 2 16758a3 [1,-1,0,-213747,36542645] 2 16758a4 [1,-1,0,-584187,-124006051] 2
16758b (4 curves)	0	2+ 3+ 7- 19+	2+ 3+  0 7- -6 -2  0 19+
Curve Equation t 16758b1 [1,-1,0,-6844917,-6891163595] 2 16758b2 [1,-1,0,-6833157,-6916031291] 2 16758b3 [1,-1,0,-7457172,-5584724272] 2 16758b4 [1,-1,0,19637868,-36857819440] 2
16758c (2 curves)	0	2+ 3+ 7- 19+	2+ 3+  4 7-  2  2  0 19+
Curve Equation t 16758c1 [1,-1,0,-2655,-50947] 2 16758c2 [1,-1,0,285,-159727] 2
16758d (2 curves)	1	2+ 3+ 7- 19-	2+ 3+  2 7- -2  4  0 19-
Curve Equation t Generators 16758d1 [1,-1,0,-156,-36] 2 [-5:27:1] 16758d2 [1,-1,0,-1626,25542] 2 [37:104:1]
16758e (1 curve)	1	2+ 3- 7+ 19-	2+ 3- -1 7+  1 -6 -2 19-
Curve Equation t Generators 16758e1 [1,-1,0,-3940785,-3010590563] 1 [7314:595831:1]
16758f (1 curve)	1	2+ 3- 7+ 19-	2+ 3- -1 7+  5 -2  6 19-
Curve Equation t Generators 16758f1 [1,-1,0,-5595,465317] 1 [86:741:1]
16758g (4 curves)	1	2+ 3- 7- 19+	2+ 3-  0 7-  0  4  6 19+
Curve Equation t Generators 16758g1 [1,-1,0,-3537,7069] 2 [-54:223:1] 16758g2 [1,-1,0,14103,45877] 2 [9:412:1] 16758g3 [1,-1,0,-188757,-31517375] 2 [1325:44540:1] 16758g4 [1,-1,0,-184347,-33063521] 2 [165555:5569544:125]
16758h (1 curve)	1	2+ 3- 7- 19+	2+ 3-  1 7-  1  6  2 19+
Curve Equation t Generators 16758h1 [1,-1,0,-193098474,1033018760052] 1 [-95396:357608082:343]
16758i (1 curve)	1	2+ 3- 7- 19+	2+ 3-  1 7-  5  2 -6 19+
Curve Equation t Generators 16758i1 [1,-1,0,-114,-1324] 1 [20:54:1]
16758j (4 curves)	1	2+ 3- 7- 19+	2+ 3-  2 7-  0 -2 -2 19+
Curve Equation t Generators 16758j1 [1,-1,0,1314,-141548] 2 [107:1049:1] 16758j2 [1,-1,0,-33966,-2293628] 4 [-88:134:1] 16758j3 [1,-1,0,-536706,-151205216] 2 [14583:1751441:1] 16758j4 [1,-1,0,-95706,8461480] 2 [-82:4010:1]
16758k (2 curves)	1	2+ 3- 7- 19+	2+ 3- -2 7-  2 -2 -2 19+
Curve Equation t Generators 16758k1 [1,-1,0,33507,143515525] 2 [522:17147:1] 16758k2 [1,-1,0,-3917853,2922902149] 2 [458:34763:1]
16758l (2 curves)	1	2+ 3- 7- 19+	2+ 3- -2 7- -2  6 -4 19+
Curve Equation t Generators 16758l1 [1,-1,0,-156123,-18902619] 2 [-285:1686:1] 16758l2 [1,-1,0,337797,-114624315] 2 [387:8406:1]
16758m (2 curves)	0	2+ 3- 7- 19-	2+ 3-  2 7-  2  2  2 19-
Curve Equation t 16758m1 [1,-1,0,684,-418608] 2 16758m2 [1,-1,0,-79956,-8498736] 2
16758n (4 curves)	0	2+ 3- 7- 19-	2+ 3-  2 7-  4 -2 -6 19-
Curve Equation t 16758n1 [1,-1,0,-155241,-21114675] 2 16758n2 [1,-1,0,-2413161,-1442249523] 4 16758n3 [1,-1,0,-38610441,-92333619603] 2 16758n4 [1,-1,0,-2342601,-1530604755] 2
16758o (2 curves)	0	2+ 3- 7- 19-	2+ 3- -4 7- -2  1  3 19-
Curve Equation t 16758o1 [1,-1,0,-9,10989] 1 16758o2 [1,-1,0,-30879,-2304261] 1
16758p (2 curves)	0	2+ 3- 7- 19-	2+ 3- -4 7-  6  4 -4 19-
Curve Equation t 16758p1 [1,-1,0,-447624,107961664] 2 16758p2 [1,-1,0,-1435464,-533146496] 2
16758q (4 curves)	1	2- 3+ 7- 19+	2- 3+  0 7-  0 -2 -6 19+
Curve Equation t Generators 16758q1 [1,-1,1,-23750,-1345515] 2 [-75:135:1] 16758q2 [1,-1,1,-64910,4614453] 2 [219:821:1] 16758q3 [1,-1,1,-303050,63913861] 2 [2326:3341:8] 16758q4 [1,-1,1,-4840940,4100820805] 2 [123725786:-65147717:97336]
16758r (4 curves)	1	2- 3+ 7- 19+	2- 3+  0 7-  6 -2  0 19+
Curve Equation t Generators 16758r1 [1,-1,1,-828575,207117831] 2 [-621:22262:1] 16758r2 [1,-1,1,2181985,1364377095] 2 [51:38390:1] 16758r3 [1,-1,1,-61604255,186123021319] 2 [2837:183458:1] 16758r4 [1,-1,1,-61498415,186794343271] 2 [6457:239420:1]
16758s (2 curves)	1	2- 3+ 7- 19+	2- 3+ -4 7- -2  2  0 19+
Curve Equation t Generators 16758s1 [1,-1,1,-23897,1399465] 2 [65:310:1] 16758s2 [1,-1,1,2563,4310065] 2 [-29:2066:1]
16758t (2 curves)	0	2- 3+ 7- 19-	2- 3+ -2 7-  2  4  0 19-
Curve Equation t 16758t1 [1,-1,1,-1406,2377] 2 16758t2 [1,-1,1,-14636,-674999] 2
16758u (1 curve)	1	2- 3- 7+ 19+	2- 3-  1 7+ -3 -4  4 19+
Curve Equation t Generators 16758u1 [1,-1,1,28802803,-47700393163] 1 [6975:698296:1]
16758v (1 curve)	1	2- 3- 7+ 19+	2- 3- -1 7+  1  4  2 19+
Curve Equation t Generators 16758v1 [1,-1,1,-23603,1517555] 1 [429:8164:1]
16758w (1 curve)	0	2- 3- 7+ 19-	2- 3- -1 7+  5 -4 -2 19-
Curve Equation t 16758w1 [1,-1,1,-219509303,-1251723683185] 1
16758x (1 curve)	0	2- 3- 7+ 19-	2- 3- -1 7+  5  6 -2 19-
Curve Equation t 16758x1 [1,-1,1,7267,-56815] 1
16758y (2 curves)	0	2- 3- 7+ 19-	2- 3-  3 7+  3 -4  6 19-
Curve Equation t 16758y1 [1,-1,1,-671,-6541] 1 16758y2 [1,-1,1,1534,-35647] 3
16758z (2 curves)	0	2- 3- 7+ 19-	2- 3-  3 7+ -3 -4 -6 19-
Curve Equation t 16758z1 [1,-1,1,41224,-11318191] 1 16758z2 [1,-1,1,-375521,326745353] 3
16758ba (2 curves)	0	2- 3- 7- 19+	2- 3-  0 7-  0  0  4 19+
Curve Equation t 16758ba1 [1,-1,1,143095,-21764599] 2 16758ba2 [1,-1,1,-844745,-207873655] 2
16758bb (2 curves)	0	2- 3- 7- 19+	2- 3-  0 7- -4  0 -2 19+
Curve Equation t 16758bb1 [1,-1,1,-42125,-3316687] 2 16758bb2 [1,-1,1,-37715,-4041691] 2
16758bc (3 curves)	0	2- 3- 7- 19+	2- 3-  0 7-  6 -5  3 19+
Curve Equation t 16758bc1 [1,-1,1,-6845,219741] 1 16758bc2 [1,-1,1,4180,827439] 1 16758bc3 [1,-1,1,-37715,-22667277] 1
16758bd (6 curves)	0	2- 3- 7- 19+	2- 3-  0 7- -6  4  0 19+
Curve Equation t 16758bd1 [1,-1,1,-3440030,2456639133] 2 16758bd2 [1,-1,1,-3501770,2363930349] 2 16758bd3 [1,-1,1,-4928405,130678125] 2 16758bd4 [1,-1,1,-53332565,-149399452947] 2 16758bd5 [1,-1,1,-269746700,-1705148872689] 2 16758bd6 [1,-1,1,-4315939340,-109133181941745] 2
16758be (1 curve)	0	2- 3- 7- 19+	2- 3-  1 7-  5  4  2 19+
Curve Equation t 16758be1 [1,-1,1,-10755955832,429362735244027] 1
16758bf (1 curve)	0	2- 3- 7- 19+	2- 3-  1 7-  5 -6  2 19+
Curve Equation t 16758bf1 [1,-1,1,148,123] 1
16758bg (2 curves)	0	2- 3- 7- 19+	2- 3- -2 7-  2 -2 -4 19+
Curve Equation t 16758bg1 [1,-1,1,-40361,3102117] 2 16758bg2 [1,-1,1,-9491,7707921] 2
16758bh (2 curves)	0	2- 3- 7- 19+	2- 3- -3 7-  3  4 -6 19+
Curve Equation t 16758bh1 [1,-1,1,-32864,2309199] 1 16758bh2 [1,-1,1,75181,12076467] 1
16758bi (2 curves)	0	2- 3- 7- 19+	2- 3- -3 7- -3  4  6 19+
Curve Equation t 16758bi1 [1,-1,1,841,32757] 1 16758bi2 [1,-1,1,-7664,-950421] 1
16758bj (2 curves)	0	2- 3- 7- 19+	2- 3-  4 7-  2  0  8 19+
Curve Equation t 16758bj1 [1,-1,1,-16988,-760161] 2 16758bj2 [1,-1,1,-263948,-52127841] 2
16758bk (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7-  0  0 -4 19-
Curve Equation t Generators 16758bk1 [1,-1,1,2920,62619] 2 [17:333:1] 16758bk2 [1,-1,1,-17240,610971] 2 [-61:1227:1]
16758bl (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7- -2  4  0 19-
Curve Equation t Generators 16758bl1 [1,-1,1,-4640,78131] 2 [-33:457:1] 16758bl2 [1,-1,1,-66380,6597875] 2 [165:259:1]
16758bm (1 curve)	1	2- 3- 7- 19-	2- 3-  1 7-  1 -4 -2 19-
Curve Equation t Generators 16758bm1 [1,-1,1,-482,-4287] 1 [53:315:1]
16758bn (1 curve)	1	2- 3- 7- 19-	2- 3- -1 7- -3  4 -4 19-
Curve Equation t Generators 16758bn1 [1,-1,1,587812,138900255] 1 [437:21669:1]
16758bo (4 curves)	1	2- 3- 7- 19-	2- 3-  2 7-  0 -2  2 19-
Curve Equation t Generators 16758bo1 [1,-1,1,-35069,-2020539] 2 [-117:744:1] 16758bo2 [1,-1,1,-176189,26711493] 4 [-103:6666:1] 16758bo3 [1,-1,1,-2769269,1774447413] 2 [977:366:1] 16758bo4 [1,-1,1,158971,116132181] 2 [125:11682:1]
16758bp (4 curves)	1	2- 3- 7- 19-	2- 3- -2 7-  4  2 -2 19-
Curve Equation t Generators 16758bp1 [1,-1,1,-71231,-4263465] 2 [-117:1626:1] 16758bp2 [1,-1,1,-503411,134552751] 4 [5238:71269:8] 16758bp3 [1,-1,1,-8004821,8719166355] 2 [35422:1942971:8] 16758bp4 [1,-1,1,83119,428990811] 2 [4536558:377783593:17576]

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