Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("ce1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9702.ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9702.ce1 9702cd1 \([1, -1, 1, -43826, 3671889]\) \(-260607143968297/11270993184\) \(-402611147525664\) \([]\) \(67200\) \(1.5681\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9702.ce1 has rank \(1\).

Complex multiplication

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

Modular form 9702.2.a.ce

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{5} + q^{8} + 3 q^{10} + q^{11} - 6 q^{13} + q^{16} - 5 q^{17} - 6 q^{19} + O(q^{20})\)  Toggle raw display