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Properties

Label 458640.m
Number of curves $1$
Conductor $458640$
CM no
Rank $2$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("m1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 458640.m1 has rank \(2\).

Complex multiplication

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

Modular form 458640.2.a.m

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

Elliptic curves in class 458640.m

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
458640.m1 458640m1 \([0, 0, 0, -7203, 1050658]\) \(-5764801/63180\) \(-452959380357120\) \([]\) \(1751040\) \(1.4943\) \(\Gamma_0(N)\)-optimal