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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 139650.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.v1 | 139650iw1 | \([1, 1, 0, -1104205, -438028835]\) | \(121545075026974907665/2817369305745408\) | \(3451277399538124800\) | \([]\) | \(3953664\) | \(2.3431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.v do not have complex multiplication.Modular form 139650.2.a.v
sage: E.q_eigenform(10)