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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 337590j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
337590.j1 | 337590j1 | \([1, -1, 0, 106155, 7279861]\) | \(102437538839/77137920\) | \(-99621152875284480\) | \([]\) | \(4752000\) | \(1.9499\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 337590j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 337590j do not have complex multiplication.Modular form 337590.2.a.j
sage: E.q_eigenform(10)