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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 349830ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349830.ba1 | 349830ba1 | \([1, -1, 0, -12960, 503010]\) | \(11562630001/1509030\) | \(31419466850070\) | \([]\) | \(970752\) | \(1.3182\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 349830ba do not have complex multiplication.Modular form 349830.2.a.ba
sage: E.q_eigenform(10)