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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 32340.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32340.ba1 | 32340z1 | \([0, 1, 0, -34241461, 77062482839]\) | \(61398847532302336/44027317125\) | \(3183776606127702816000\) | \([]\) | \(2540160\) | \(3.0613\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32340.ba do not have complex multiplication.Modular form 32340.2.a.ba
sage: E.q_eigenform(10)