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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 84150j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.bd1 | 84150j1 | \([1, -1, 0, -25542, 2802116]\) | \(-4368317413923/5475734000\) | \(-2310075281250000\) | \([]\) | \(460800\) | \(1.6414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150j1 has rank \(2\).
Complex multiplication
The elliptic curves in class 84150j do not have complex multiplication.Modular form 84150.2.a.j
sage: E.q_eigenform(10)