Properties

Label 502237.c
Number of curves $1$
Conductor $502237$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 502237.c

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
502237.c1 \([0, -1, 1, -24, 39]\) \(1593413632/502237\) \(502237\) \([]\) \(73438\) \(-0.20204\)

Rank

sage: E.rank()
 

The elliptic curve 502237.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 502237.c do not have complex multiplication.

Modular form 502237.2.a.c

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} - 2 q^{5} - 2 q^{6} - 2 q^{9} - 4 q^{10} - 6 q^{11} - 2 q^{12} + 4 q^{13} + 2 q^{15} - 4 q^{16} - 2 q^{17} - 4 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display