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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 85176bi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 85176.h1 | 85176bi1 | \([0, 0, 0, -1063179, 421995366]\) | \(-683064198/91\) | \(-17706093405751296\) | \([]\) | \(967680\) | \(2.1371\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85176bi do not have complex multiplication.Modular form 85176.2.a.bi
sage: E.q_eigenform(10)