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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 166635ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166635.s1 | 166635ba1 | \([0, 0, 1, -292008, -68770926]\) | \(-48234496/7875\) | \(-449573577625060875\) | \([]\) | \(1695744\) | \(2.1148\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166635ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166635ba do not have complex multiplication.Modular form 166635.2.a.ba
sage: E.q_eigenform(10)