Cremona's table of elliptic curves

73034 = 2 · 13 · 53²

Class	r	Atkin-Lehner	Eigenvalues
73034a (1 curve)	1	2+ 13+ 53+	2+  0  1 -2  1 13+  3  6
Curve Equation t Generators 73034a1 [1,-1,0,-21777299,39155196341] 1 [22190:62667:8]
73034b (1 curve)	1	2+ 13+ 53+	2+ -1  2 -4 -4 13+  1 -8
Curve Equation t Generators 73034b1 [1,1,0,-1489,22037] 1 [11:79:1]
73034c (2 curves)	1	2+ 13+ 53+	2+  2  2  2  2 13+ -2  4
Curve Equation t Generators 73034c1 [1,1,0,-1090240374,-13698876008620] 2 [85338543558640710172150365707466812467665256517734539583008671377604466881862357301793778541336406448311540969566501446129617343557896150447271202027427469352005765868229816931164057994102880410043637550473553338408228991138220:229516008768731947227990893415323307084038496423603804357000932881018720959011494530836278985356566653088172422491808639297017441672631314961595677717545715725150904481464794816295063672954148932280739925528914177603125073183530:2240872905173580076023991927117149491663886654268264542879283293267570806296206532305110786668565238348508429719094241727624974151392273623557627841989356140567408670553921432261774776007261383507437320304175202668671154301] 73034c2 [1,1,0,-169787254,-36094420871340] 2 [99184683512629010690817662968887645944100005985276605807952833491572863780419958240304179243316426064622184440674284:29498080434823203157096487824046556808222656698528524401204806875833794441609338675442481588419819495649375641291404938:1048719243894691680161296825139010653077748518268668684453636973742665053919213962760763930771871808548906528813]
73034d (2 curves)	1	2+ 13+ 53+	2+  3  1  1 -2 13+ -3 -6
Curve Equation t Generators 73034d1 [1,-1,0,-7549,388037] 1 [-1936230:21114263:27000] 73034d2 [1,-1,0,-597439,-194865553] 1 [601360968736278230760854115567402090:159640337609479012301729891588796126671:8500203269678714005816922259000]
73034e (2 curves)	0	2+ 13- 53+	2+ -1  3 -1  0 13- -3  4
Curve Equation t 73034e1 [1,1,0,-146126,403147828] 1 73034e2 [1,1,0,1314554,-10858987108] 1
73034f (2 curves)	0	2+ 13- 53+	2+  2  3 -4 -3 13- -6 -5
Curve Equation t 73034f1 [1,1,0,-51452511,-140464940923] 1 73034f2 [1,1,0,-4154502631,-103070400861267] 1
73034g (1 curve)	1	2+ 13- 53-	2+  0 -1 -4 -3 13-  7  2
Curve Equation t Generators 73034g1 [1,-1,0,-407169290,-3162253319916] 1 [127691065494722067620595:128215285013547166335009363:126471990509558875]
73034h (2 curves)	1	2+ 13- 53-	2+ -2  3  2  3 13- -6 -1
Curve Equation t Generators 73034h1 [1,0,1,-89947,10193508] 3 [151748816270838470:1384548387073542794:536277935781125] 73034h2 [1,0,1,-834332,-289049262] 1 [264270:10619082:125]
73034i (1 curve)	0	2- 13+ 53+	2- -1  1  5  4 13+  5  4
Curve Equation t 73034i1 [1,1,1,-38788135,93302764509] 1
73034j (1 curve)	1	2- 13+ 53-	2-  1 -2 -4 -4 13+  1  8
Curve Equation t Generators 73034j1 [1,0,0,-4184064,3372841088] 1 [-10536:1904152:27]
73034k (3 curves)	1	2- 13- 53+	2- -1  3 -1  6 13- -3 -2
Curve Equation t Generators 73034k1 [1,1,1,1346,31749] 1 [3401370:71852829:343000] 73034k2 [1,1,1,-12699,-1103087] 1 [30445:386402:125] 73034k3 [1,1,1,-1290794,-564998601] 1 [5330445:1097709903:125]
73034l (2 curves)	1	2- 13- 53+	2-  2 -3  2  3 13- -6  1
Curve Equation t Generators 73034l1 [1,1,1,-32,55] 1 [212:-75:64] 73034l2 [1,1,1,-297,-2065] 1 [21:28:1]
73034m (1 curve)	0	2- 13- 53-	2-  0  1 -4 -3 13-  7 -2
Curve Equation t 73034m1 [1,-1,1,-144952,-21205157] 1
73034n (2 curves)	2	2- 13- 53-	2- -2 -3 -4 -3 13- -6  5
Curve Equation t Generators 73034n1 [1,0,0,-18317,-944879] 3 [-84:95:1]&[-74:119:1] 73034n2 [1,0,0,-1478997,-692430791] 1 [5800:428203:1]&[-18960:9481:27]

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

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