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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 166410.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.j1 | 166410cf1 | \([1, -1, 0, -3106184445, 4070464738464325]\) | \(-388982677010590321/839808000000000000\) | \(-7155750347975293103232000000000000\) | \([]\) | \(843300864\) | \(5.1751\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 166410.j do not have complex multiplication.Modular form 166410.2.a.j
sage: E.q_eigenform(10)