Properties

Label 2904.e
Number of curves $1$
Conductor $2904$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 2904.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2904.e1 2904j1 \([0, -1, 0, 224, -548]\) \(9987164/6561\) \(-812934144\) \([]\) \(768\) \(0.39851\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2904.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2904.e do not have complex multiplication.

Modular form 2904.2.a.e

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