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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 412224.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.bi1 | 412224bi1 | \([0, -1, 0, 86651, 20082997]\) | \(70265069588037632/211305921733611\) | \(-216377263855217664\) | \([]\) | \(7833600\) | \(2.0097\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224.bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 412224.bi do not have complex multiplication.Modular form 412224.2.a.bi
sage: E.q_eigenform(10)