Properties

Label 113256bu
Number of curves $1$
Conductor $113256$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 113256bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
113256.bn1 113256bu1 \([0, 0, 0, -17787, -955658]\) \(-235298/13\) \(-34384043206656\) \([]\) \(336000\) \(1.3552\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 113256bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 113256bu do not have complex multiplication.

Modular form 113256.2.a.bu

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