Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7098.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7098.z1 7098bb1 \([1, 0, 0, -1271, -20151]\) \(-47045881/8736\) \(-42167003424\) \([]\) \(6720\) \(0.76322\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7098.z1 has rank \(0\).

Complex multiplication

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

Modular form 7098.2.a.z

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