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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 67830.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67830.j1 | 67830l1 | \([1, 1, 0, 361583, 165761821]\) | \(5228123602722998239079/14874023044473705000\) | \(-14874023044473705000\) | \([]\) | \(1459200\) | \(2.3623\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67830.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67830.j do not have complex multiplication.Modular form 67830.2.a.j
sage: E.q_eigenform(10)