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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 380926.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380926.j1 | 380926j1 | \([1, 1, 0, -621247, 169720517]\) | \(663399010729/71639296\) | \(2863480354322608384\) | \([]\) | \(8865792\) | \(2.2755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380926.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 380926.j do not have complex multiplication.Modular form 380926.2.a.j
sage: E.q_eigenform(10)