Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7098.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7098.h1 7098l1 \([1, 0, 1, -208212, -36609116]\) \(-1223745654937/907578\) \(-740339256303738\) \([]\) \(65520\) \(1.7869\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7098.h1 has rank \(0\).

Complex multiplication

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

Modular form 7098.2.a.h

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