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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 1914.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1914.j1 | 1914h1 | \([1, 1, 1, -281, 1697]\) | \(-2454365649169/1609674\) | \(-1609674\) | \([]\) | \(720\) | \(0.13056\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1914.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1914.j do not have complex multiplication.Modular form 1914.2.a.j
sage: E.q_eigenform(10)