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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 273273bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273273.bb1 | 273273bb1 | \([0, 1, 1, 5521, 23846]\) | \(5537792/3267\) | \(-10977685481763\) | \([]\) | \(489888\) | \(1.1916\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273273bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273273bb do not have complex multiplication.Modular form 273273.2.a.bb
sage: E.q_eigenform(10)