Properties

Label 402930v
Number of curves $1$
Conductor $402930$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 402930v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402930.v1 402930v1 \([1, -1, 0, 11775, -41279375]\) \(3774555693/15389687500\) \(-736121794784062500\) \([]\) \(5483520\) \(2.1073\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 402930v1 has rank \(2\).

Complex multiplication

The elliptic curves in class 402930v do not have complex multiplication.

Modular form 402930.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 2 q^{7} - q^{8} + q^{10} - 2 q^{14} + q^{16} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display