Properties

Label 97104cn
Number of curves $1$
Conductor $97104$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("cn1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97104cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.cv1 97104cn1 \([0, 1, 0, 8383216, -3989837292]\) \(2280364702703/1560674304\) \(-44592682553776111878144\) \([]\) \(9987840\) \(3.0346\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104cn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 97104cn do not have complex multiplication.

Modular form 97104.2.a.cn

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3q^{5} - q^{7} + q^{9} - 5q^{11} + 3q^{15} - 6q^{19} + O(q^{20})\)  Toggle raw display