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Properties

Label 458640.ev
Number of curves $1$
Conductor $458640$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("ev1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 458640.ev1 has rank \(1\).

Complex multiplication

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

Modular form 458640.2.a.ev

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

Elliptic curves in class 458640.ev

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
458640.ev1 458640ev1 \([0, 0, 0, -5995208163, -178694664480542]\) \(-28253264609835195889/4297784624640\) \(-3625037672748244931696394240\) \([]\) \(394813440\) \(4.3006\) \(\Gamma_0(N)\)-optimal