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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 409101.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
409101.bi1 | 409101bi1 | \([1, 1, 0, -338990698, 2402218755721]\) | \(-1411796061716161/31236921\) | \(-95319841363772517852129\) | \([]\) | \(75018240\) | \(3.5245\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 409101.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 409101.bi do not have complex multiplication.Modular form 409101.2.a.bi
sage: E.q_eigenform(10)