Properties

Label 25392j
Number of curves $1$
Conductor $25392$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 25392j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25392.bd1 25392j1 \([0, 1, 0, -4850577, -4114201653]\) \(-1190106112/243\) \(-2577060409578676992\) \([]\) \(971520\) \(2.5302\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25392j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25392j do not have complex multiplication.

Modular form 25392.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{5} - q^{7} + q^{9} + 6 q^{11} - 7 q^{13} + 2 q^{15} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display