Properties

Label 97104cf
Number of curves $1$
Conductor $97104$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("cf1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97104cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.e1 97104cf1 \([0, -1, 0, 29008, -822336]\) \(2280364702703/1560674304\) \(-1847438843314176\) \([]\) \(587520\) \(1.6180\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104cf1 has rank \(1\).

Complex multiplication

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

Modular form 97104.2.a.cf

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