Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7098.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7098.b1 7098d1 \([1, 1, 0, -16981799, -27096574539]\) \(-112205650221491190337/745029571313664\) \(-3596115440082935218176\) \([]\) \(799680\) \(2.9718\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7098.b1 has rank \(0\).

Complex multiplication

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

Modular form 7098.2.a.b

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