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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 64400.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.ba1 | 64400bd1 | \([0, 0, 0, 4285, -2176830]\) | \(84972077055/20040095362\) | \(-2052105765068800\) | \([]\) | \(193536\) | \(1.6173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64400.ba do not have complex multiplication.Modular form 64400.2.a.ba
sage: E.q_eigenform(10)