Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 9702.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9702.i1 9702n1 \([1, -1, 0, -2508, -37864]\) \(415233/88\) \(369823513752\) \([]\) \(14112\) \(0.93422\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9702.i1 has rank \(1\).

Complex multiplication

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

Modular form 9702.2.a.i

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