Properties

Label 13872bp
Number of curves $1$
Conductor $13872$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 13872bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13872.z1 13872bp1 \([0, 1, 0, 11464, 5021268]\) \(5831/384\) \(-10971917751681024\) \([]\) \(102816\) \(1.7574\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13872bp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13872bp do not have complex multiplication.

Modular form 13872.2.a.bp

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 4 q^{7} + q^{9} + 3 q^{11} + 6 q^{13} - q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display