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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 161700.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161700.bi1 | 161700db1 | \([0, -1, 0, 52022, -8592023]\) | \(27559168/72171\) | \(-40773042391158000\) | \([]\) | \(1225728\) | \(1.8709\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700.bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 161700.bi do not have complex multiplication.Modular form 161700.2.a.bi
sage: E.q_eigenform(10)