Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 13872s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13872.m1 13872s1 \([0, -1, 0, -45, -2511]\) \(-8192/2187\) \(-2750651136\) \([]\) \(5376\) \(0.49048\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13872s1 has rank \(0\).

Complex multiplication

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

Modular form 13872.2.a.s

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