Properties

Label 458640mq
Number of curves $1$
Conductor $458640$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("mq1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 458640mq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
458640.mq1 458640mq1 \([0, 0, 0, 588, -5684]\) \(1354752/1625\) \(-26968032000\) \([]\) \(262656\) \(0.68770\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 458640mq1 has rank \(0\).

Complex multiplication

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

Modular form 458640.2.a.mq

sage: E.q_eigenform(10)
 
\(q + q^{5} + 3q^{11} - q^{13} + 2q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display