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SageMath
E = EllipticCurve("eb1")
E.isogeny_class()
Elliptic curves in class 212160eb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212160.bq1 | 212160eb1 | \([0, -1, 0, 244639, 20322561]\) | \(6176736766011239/4260587175000\) | \(-1116887364403200000\) | \([]\) | \(2764800\) | \(2.1517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212160eb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 212160eb do not have complex multiplication.Modular form 212160.2.a.eb
sage: E.q_eigenform(10)