Properties

Label 13872bh
Number of curves $1$
Conductor $13872$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 13872bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13872.ba1 13872bh1 \([0, 1, 0, -13101, -12414969]\) \(-8192/2187\) \(-66394031590128384\) \([]\) \(91392\) \(1.9071\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13872bh1 has rank \(1\).

Complex multiplication

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

Modular form 13872.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{7} + q^{9} - 3 q^{11} + 3 q^{13} - q^{15} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display