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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 230115.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
230115.j1 | 230115j1 | \([0, -1, 1, -27155, 1722458]\) | \(14959673344/90045\) | \(13329891625005\) | \([]\) | \(861696\) | \(1.3577\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230115.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 230115.j do not have complex multiplication.Modular form 230115.2.a.j
sage: E.q_eigenform(10)