Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 7098.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7098.u1 7098q1 \([1, 1, 1, -200522, 47939159]\) \(-6468095257/3483648\) \(-480250459412785152\) \([]\) \(102960\) \(2.0966\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7098.u1 has rank \(0\).

Complex multiplication

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

Modular form 7098.2.a.u

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