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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 338130.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.ba1 | 338130ba1 | \([1, -1, 0, -209205, 37562805]\) | \(-4806353270849329/103667466240\) | \(-21840765454909440\) | \([]\) | \(3870720\) | \(1.9250\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130.ba do not have complex multiplication.Modular form 338130.2.a.ba
sage: E.q_eigenform(10)