Properties

Label 13104cb
Number of curves $1$
Conductor $13104$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 13104cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13104.v1 13104cb1 \([0, 0, 0, -1083, -15766]\) \(-47045881/8736\) \(-26085556224\) \([]\) \(7680\) \(0.72320\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13104cb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13104cb do not have complex multiplication.

Modular form 13104.2.a.cb

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} + 3 q^{11} - q^{13} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display