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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 379050.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.j1 | 379050j1 | \([1, 1, 0, -31775, 2391975]\) | \(-120670225/15162\) | \(-445818529826250\) | \([]\) | \(2764800\) | \(1.5451\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.j do not have complex multiplication.Modular form 379050.2.a.j
sage: E.q_eigenform(10)