Properties

Label 304920.el
Number of curves $1$
Conductor $304920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("el1")
 
E.isogeny_class()
 

Elliptic curves in class 304920.el

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304920.el1 304920el1 \([0, 0, 0, -1452, 165044]\) \(-1024/35\) \(-11571553002240\) \([]\) \(571200\) \(1.1869\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304920.el1 has rank \(1\).

Complex multiplication

The elliptic curves in class 304920.el do not have complex multiplication.

Modular form 304920.2.a.el

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{7} - q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display