Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 7098.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7098.s1 7098t1 \([1, 1, 1, 94, 47]\) \(41781923/24192\) \(-53149824\) \([]\) \(2016\) \(0.17185\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7098.s1 has rank \(1\).

Complex multiplication

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

Modular form 7098.2.a.s

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