Properties

Label 9702.y
Number of curves $1$
Conductor $9702$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("y1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9702.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9702.y1 9702y1 \([1, -1, 0, -51, 125]\) \(415233/88\) \(3143448\) \([]\) \(2016\) \(-0.038738\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9702.y1 has rank \(0\).

Complex multiplication

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

Modular form 9702.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 2 q^{5} - q^{8} - 2 q^{10} + q^{11} + 7 q^{13} + q^{16} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display