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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 285912.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
285912.ba1 | 285912ba1 | \([0, 0, 0, -9774075, 11771374646]\) | \(-11281250/11\) | \(-100689961618035136512\) | \([]\) | \(10768896\) | \(2.7589\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 285912.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 285912.ba do not have complex multiplication.Modular form 285912.2.a.ba
sage: E.q_eigenform(10)