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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 139650.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.f1 | 139650io1 | \([1, 1, 0, -153878400, -2626318080000]\) | \(-219203980537177787761/1494018600480000000\) | \(-2746403036372992500000000000\) | \([]\) | \(85155840\) | \(3.9483\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.f do not have complex multiplication.Modular form 139650.2.a.f
sage: E.q_eigenform(10)