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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 212160.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212160.bi1 | 212160dv1 | \([0, -1, 0, -2814741, 1822828941]\) | \(-150528677004615417856/408725537965875\) | \(-6696559214032896000\) | \([]\) | \(4308480\) | \(2.4862\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212160.bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 212160.bi do not have complex multiplication.Modular form 212160.2.a.bi
sage: E.q_eigenform(10)