Properties

Label 331056.p
Number of curves $1$
Conductor $331056$
CM no
Rank $1$

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

Elliptic curves in class 331056.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331056.p1 331056p1 \([0, 0, 0, 60621, 1243154]\) \(9314926/5643\) \(-14925319678089216\) \([]\) \(2027520\) \(1.7927\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331056.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 331056.p do not have complex multiplication.

Modular form 331056.2.a.p

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 2 q^{7} - 4 q^{13} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display