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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 200400.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.bi1 | 200400da1 | \([0, -1, 0, -143, -618]\) | \(-162830336/1503\) | \(-3006000\) | \([]\) | \(67584\) | \(0.065210\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200400.bi do not have complex multiplication.Modular form 200400.2.a.bi
sage: E.q_eigenform(10)