Properties

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

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

Elliptic curves in class 97104ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.d1 97104ce1 \([0, -1, 0, 4528, 385344]\) \(103823/714\) \(-70591382593536\) \([]\) \(276480\) \(1.3390\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104ce1 has rank \(1\).

Complex multiplication

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

Modular form 97104.2.a.ce

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{7} + q^{9} - q^{11} + 3 q^{13} + 3 q^{15} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display