Properties

Label 331056.b
Number of curves $1$
Conductor $331056$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 331056.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331056.b1 331056b1 \([0, 0, 0, -5767707, 8216574410]\) \(-58730058813042529/46734803730432\) \(-16885474518047442075648\) \([]\) \(27095040\) \(2.9635\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331056.b1 has rank \(0\).

Complex multiplication

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

Modular form 331056.2.a.b

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