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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 3528.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3528.ba1 | 3528f1 | \([0, 0, 0, -2268, -41580]\) | \(-5225472\) | \(-246903552\) | \([]\) | \(2880\) | \(0.61111\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3528.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3528.ba do not have complex multiplication.Modular form 3528.2.a.ba
sage: E.q_eigenform(10)