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SageMath
E = EllipticCurve("ja1")
E.isogeny_class()
Elliptic curves in class 78400.ja
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.ja1 | 78400i1 | \([0, -1, 0, -40833, -1710463]\) | \(2450\) | \(3073280000000000\) | \([]\) | \(391680\) | \(1.6694\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.ja1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400.ja do not have complex multiplication.Modular form 78400.2.a.ja
sage: E.q_eigenform(10)