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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 176890ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176890.cx1 | 176890ba1 | \([1, 1, 1, -133036, -108132417]\) | \(-130321/2450\) | \(-4895343060115992050\) | \([]\) | \(3414528\) | \(2.2673\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176890ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176890ba do not have complex multiplication.Modular form 176890.2.a.ba
sage: E.q_eigenform(10)