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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 257400ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257400.ba1 | 257400ba1 | \([0, 0, 0, -48430875, 129743024375]\) | \(-2757294236281534720/385319832183\) | \(-1755613485383793750000\) | \([]\) | \(19353600\) | \(3.0933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257400ba1 has rank \(2\).
Complex multiplication
The elliptic curves in class 257400ba do not have complex multiplication.Modular form 257400.2.a.ba
sage: E.q_eigenform(10)