Properties

Label 92400.ea
Number of curves $1$
Conductor $92400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("ea1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 92400.ea

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.ea1 92400bb1 \([0, -1, 0, 15967, -202563]\) \(112539892736/69328875\) \(-277315500000000\) \([]\) \(276480\) \(1.4605\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.ea1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92400.ea do not have complex multiplication.

Modular form 92400.2.a.ea

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + q^{11} + 4q^{13} - q^{17} - 3q^{19} + O(q^{20})\)  Toggle raw display