Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("t1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7098.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7098.t1 7098u1 \([1, 1, 1, -18340, -976201]\) \(-141339344329/2167074\) \(-10460052286866\) \([]\) \(20160\) \(1.3007\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7098.t1 has rank \(1\).

Complex multiplication

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

Modular form 7098.2.a.t

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