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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 286110.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.ba1 | 286110ba1 | \([1, -1, 0, -172683045, 873553706325]\) | \(-6587262758732993/798600000\) | \(-69039418786297561800000\) | \([]\) | \(53268480\) | \(3.4066\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286110.ba do not have complex multiplication.Modular form 286110.2.a.ba
sage: E.q_eigenform(10)