Properties

Label 7098.q
Number of curves $1$
Conductor $7098$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7098.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7098.q1 7098s1 \([1, 1, 1, -725, 4961]\) \(249395415529/73513818\) \(12423835242\) \([]\) \(10080\) \(0.64268\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7098.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7098.q do not have complex multiplication.

Modular form 7098.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - 4q^{5} - q^{6} - q^{7} + q^{8} + q^{9} - 4q^{10} + 3q^{11} - q^{12} - q^{14} + 4q^{15} + q^{16} - 5q^{17} + q^{18} - 3q^{19} + O(q^{20})\)  Toggle raw display