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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 402930.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.j1 | 402930j1 | \([1, -1, 0, -40431870, 98995419540]\) | \(-4252394110807331/1551892480\) | \(-2667616060334376222720\) | \([]\) | \(44447040\) | \(3.0795\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 402930.j do not have complex multiplication.Modular form 402930.2.a.j
sage: E.q_eigenform(10)