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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 133952ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133952.cc1 | 133952ba1 | \([0, 1, 0, -4389, -169981]\) | \(-570820369408/418447211\) | \(-6855839105024\) | \([]\) | \(225280\) | \(1.1625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133952ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 133952ba do not have complex multiplication.Modular form 133952.2.a.ba
sage: E.q_eigenform(10)