Properties

Label 458640mv
Number of curves $1$
Conductor $458640$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("mv1")
 
E.isogeny_class()
 

Elliptic curves in class 458640mv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
458640.mv1 458640mv1 \([0, 0, 0, 14973, 64946]\) \(10149078716/5923125\) \(-216657866880000\) \([]\) \(1032192\) \(1.4402\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 458640mv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 458640mv do not have complex multiplication.

Modular form 458640.2.a.mv

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