Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 458640n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
458640.n1 458640n1 \([0, 0, 0, -7203, -3606302]\) \(-2401/325\) \(-5594421153484800\) \([]\) \(2580480\) \(1.7011\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 458640n1 has rank \(0\).

Complex multiplication

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

Modular form 458640.2.a.n

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