Properties

Label 13872.bb
Number of curves $1$
Conductor $13872$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 13872.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13872.bb1 13872bg1 \([0, 1, 0, -1541, 35151]\) \(-65536/51\) \(-315140100864\) \([]\) \(13824\) \(0.90506\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13872.bb1 has rank \(1\).

Complex multiplication

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

Modular form 13872.2.a.bb

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