Properties

Label 289800.el
Number of curves $1$
Conductor $289800$
CM no
Rank $1$

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

Elliptic curves in class 289800.el

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
289800.el1 289800el1 \([0, 0, 0, -31260, -5296300]\) \(-144814859264/435654247\) \(-10162942274016000\) \([]\) \(1559040\) \(1.7582\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 289800.el1 has rank \(1\).

Complex multiplication

The elliptic curves in class 289800.el do not have complex multiplication.

Modular form 289800.2.a.el

sage: E.q_eigenform(10)
 
\(q + q^{7} + 3q^{11} - 3q^{13} + 3q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display