Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 13872.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13872.i1 13872d1 \([0, -1, 0, -106448, -13334064]\) \(-18674500/3\) \(-21429526858752\) \([]\) \(48960\) \(1.5677\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13872.i1 has rank \(0\).

Complex multiplication

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

Modular form 13872.2.a.i

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