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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 272734bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272734.bi1 | 272734bi1 | \([1, 0, 1, -5253218, -4591172456]\) | \(76922876001889/833425516\) | \(173704529671622950924\) | \([]\) | \(9031680\) | \(2.6989\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272734bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 272734bi do not have complex multiplication.Modular form 272734.2.a.bi
sage: E.q_eigenform(10)