Properties

Label 15600.i
Number of curves $1$
Conductor $15600$
CM no
Rank $0$

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

Elliptic curves in class 15600.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.i1 15600k1 \([0, -1, 0, -6113, -182403]\) \(-789601498112/2302911\) \(-73693152000\) \([]\) \(19712\) \(0.95593\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.i1 has rank \(0\).

Complex multiplication

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

Modular form 15600.2.a.i

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