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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 193600.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.ba1 | 193600u1 | \([0, 1, 0, -100833, -11909537]\) | \(24200\) | \(4685120000000000\) | \([]\) | \(1105920\) | \(1.7722\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 193600.ba do not have complex multiplication.Modular form 193600.2.a.ba
sage: E.q_eigenform(10)