Properties

Label 15600.k
Number of curves $1$
Conductor $15600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 15600.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.k1 15600bg1 \([0, -1, 0, -13208, -580368]\) \(-2488672890625/2426112\) \(-248433868800\) \([]\) \(27648\) \(1.1072\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15600.k do not have complex multiplication.

Modular form 15600.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 5 q^{11} + q^{13} - 5 q^{17} + O(q^{20})\) Copy content Toggle raw display