Properties

Label 117208.c
Number of curves $1$
Conductor $117208$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 117208.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117208.c1 117208j1 \([0, 1, 0, -15536593, 23565980787]\) \(13770918300093568000/31622653517\) \(952415632287112448\) \([]\) \(3916800\) \(2.6934\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117208.c1 has rank \(2\).

Complex multiplication

The elliptic curves in class 117208.c do not have complex multiplication.

Modular form 117208.2.a.c

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