Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 7098.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7098.d1 7098g1 \([1, 1, 0, 15883, 24237]\) \(41781923/24192\) \(-256544048831616\) \([]\) \(26208\) \(1.4543\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7098.d1 has rank \(1\).

Complex multiplication

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

Modular form 7098.2.a.d

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