Properties

Label 9702.k
Number of curves $1$
Conductor $9702$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 9702.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9702.k1 9702j1 \([1, -1, 0, -660, -6448]\) \(-24052806603/360448\) \(-476872704\) \([]\) \(5760\) \(0.46853\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9702.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9702.k do not have complex multiplication.

Modular form 9702.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} + q^{11} - 2 q^{13} + q^{16} + 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display