Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 13872.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13872.t1 13872g1 \([0, -1, 0, 11464, 18030528]\) \(23324/19683\) \(-140599125720271872\) \([]\) \(264384\) \(1.9694\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13872.t1 has rank \(0\).

Complex multiplication

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

Modular form 13872.2.a.t

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