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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)