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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 139650.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.ba1 | 139650iz1 | \([1, 1, 0, -536384650, -4782494259500]\) | \(-3866805342966045361/737311113216\) | \(-3254252192127449856000000\) | \([]\) | \(55319040\) | \(3.7044\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.ba do not have complex multiplication.Modular form 139650.2.a.ba
sage: E.q_eigenform(10)