Properties

Label 418950.q
Number of curves $1$
Conductor $418950$
CM no
Rank $1$

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Show commands: 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)
 
\(q - q^{2} + q^{4} - q^{8} - 5 q^{11} + q^{13} + q^{16} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display