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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 169338.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169338.ba1 | 169338f1 | \([1, 0, 0, -4274, -109188]\) | \(-51091295119033/710005176\) | \(-119990874744\) | \([]\) | \(321408\) | \(0.93207\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169338.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169338.ba do not have complex multiplication.Modular form 169338.2.a.ba
sage: E.q_eigenform(10)