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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 418950.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418950.q1 | 418950q1 | \([1, -1, 0, 8433, 543591]\) | \(16974593/42750\) | \(-167023582031250\) | \([]\) | \(1916928\) | \(1.4129\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 418950.q do not have complex multiplication.Modular form 418950.2.a.q
sage: E.q_eigenform(10)