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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 426888j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.j1 | 426888j1 | \([0, 0, 0, -3359626347, 75004988990470]\) | \(-2683675214/2187\) | \(-3417554707337522959306057728\) | \([]\) | \(430510080\) | \(4.2124\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888j do not have complex multiplication.Modular form 426888.2.a.j
sage: E.q_eigenform(10)