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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 157170.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
157170.ba1 | 157170ct1 | \([1, 0, 1, -589814, 220931336]\) | \(-4701189640361761/1649907792000\) | \(-7963789779595728000\) | \([]\) | \(4064256\) | \(2.3379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 157170.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 157170.ba do not have complex multiplication.Modular form 157170.2.a.ba
sage: E.q_eigenform(10)