Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ep1")
 
E.isogeny_class()
 

Elliptic curves in class 92400.ep

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.ep1 92400fx1 \([0, 1, 0, -3333, -39537]\) \(1638400/693\) \(1732500000000\) \([]\) \(149760\) \(1.0452\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.ep1 has rank \(1\).

Complex multiplication

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

Modular form 92400.2.a.ep

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} + q^{9} - q^{11} - q^{13} + 5 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display