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SageMath
E = EllipticCurve("jo1")
E.isogeny_class()
Elliptic curves in class 139650.jo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
139650.jo1 | 139650cp1 | \([1, 0, 0, 937, -20133]\) | \(16974593/42750\) | \(-229113281250\) | \([]\) | \(239616\) | \(0.86359\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 139650.jo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 139650.jo do not have complex multiplication.Modular form 139650.2.a.jo
sage: E.q_eigenform(10)