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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 372810.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.ba1 | 372810ba1 | \([1, 1, 0, 35108, 5399896]\) | \(40353607/129000\) | \(-15297836068113000\) | \([]\) | \(5052672\) | \(1.7887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 372810.ba do not have complex multiplication.Modular form 372810.2.a.ba
sage: E.q_eigenform(10)