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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 162450.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162450.ba1 | 162450ds1 | \([1, -1, 0, 128268, -84302384]\) | \(272199695/3735552\) | \(-3202904052847411200\) | \([]\) | \(2211840\) | \(2.2316\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162450.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162450.ba do not have complex multiplication.Modular form 162450.2.a.ba
sage: E.q_eigenform(10)