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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 177600.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.bi1 | 177600dj1 | \([0, -1, 0, -16673, 810177]\) | \(78218787505/2589408\) | \(16969944268800\) | \([]\) | \(322560\) | \(1.3116\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177600.bi do not have complex multiplication.Modular form 177600.2.a.bi
sage: E.q_eigenform(10)