Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 9702.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9702.s1 9702a1 \([1, -1, 0, -244176, -46392256]\) \(-34068278205171/10307264\) \(-487109783426112\) \([]\) \(60480\) \(1.7959\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9702.s1 has rank \(1\).

Complex multiplication

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

Modular form 9702.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 2 q^{5} - q^{8} - 2 q^{10} - q^{11} + 2 q^{13} + q^{16} - q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display