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SageMath
E = EllipticCurve("jo1")
E.isogeny_class()
Elliptic curves in class 78400jo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.kj1 | 78400jo1 | \([0, -1, 0, -1633, 14337]\) | \(2450\) | \(196689920000\) | \([]\) | \(78336\) | \(0.86471\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400jo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400jo do not have complex multiplication.Modular form 78400.2.a.jo
sage: E.q_eigenform(10)