Properties

Label 377520ge
Number of curves $1$
Conductor $377520$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ge1")
 
E.isogeny_class()
 

Elliptic curves in class 377520ge

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
377520.ge1 377520ge1 \([0, 1, 0, -58560, 7854900]\) \(-4073768343611/2555904000\) \(-13934216085504000\) \([]\) \(2363904\) \(1.7994\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 377520ge1 has rank \(0\).

Complex multiplication

The elliptic curves in class 377520ge do not have complex multiplication.

Modular form 377520.2.a.ge

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 3 q^{7} + q^{9} - q^{13} + q^{15} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display