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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 64974.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64974.j1 | 64974a1 | \([1, 1, 0, 141438, -54775692]\) | \(54279134491799/256736428416\) | \(-1480034419268985216\) | \([]\) | \(1128960\) | \(2.1689\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64974.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64974.j do not have complex multiplication.Modular form 64974.2.a.j
sage: E.q_eigenform(10)