Properties

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

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 13872.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13872.bd1 13872j1 \([0, 1, 0, -278403, 128062440]\) \(-73984000/177147\) \(-5714036343725424048\) \([]\) \(269280\) \(2.2873\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13872.bd1 has rank \(0\).

Complex multiplication

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

Modular form 13872.2.a.bd

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