Properties

Label 418950nu
Number of curves $1$
Conductor $418950$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("nu1")
 
E.isogeny_class()
 

Elliptic curves in class 418950nu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.nu1 418950nu1 \([1, -1, 1, 76945, 38619767]\) \(23497109375/314399232\) \(-674120064350476800\) \([]\) \(6635520\) \(2.1018\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418950nu1 has rank \(2\).

Complex multiplication

The elliptic curves in class 418950nu do not have complex multiplication.

Modular form 418950.2.a.nu

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{8} + 2 q^{11} - 5 q^{13} + q^{16} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display