Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ca1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 9702.ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9702.ca1 9702bi1 \([1, -1, 1, -1329404, -589796609]\) \(-34068278205171/10307264\) \(-78611768052535872\) \([]\) \(141120\) \(2.2195\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9702.ca1 has rank \(0\).

Complex multiplication

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

Modular form 9702.2.a.ca

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