Properties

Label 402930.p
Number of curves $1$
Conductor $402930$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 402930.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402930.p1 402930p1 \([1, -1, 0, 797918445, -7398375405899]\) \(32684175259896816109/32669794271232000\) \(-56157542490159164629352448000\) \([]\) \(369515520\) \(4.2034\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 402930.p1 has rank \(0\).

Complex multiplication

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

Modular form 402930.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} - 6 q^{13} + q^{16} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display