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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 311904.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311904.j1 | 311904j1 | \([0, 0, 0, 8664, -109744]\) | \(1536\) | \(-46826082643968\) | \([]\) | \(648000\) | \(1.3120\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311904.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 311904.j do not have complex multiplication.Modular form 311904.2.a.j
sage: E.q_eigenform(10)