Properties

Label 11560m
Number of curves $1$
Conductor $11560$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 11560m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11560.m1 11560m1 \([0, -1, 0, -385, 2997]\) \(295936/5\) \(106906880\) \([]\) \(4320\) \(0.33852\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11560m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11560m do not have complex multiplication.

Modular form 11560.2.a.m

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{5} + 2 q^{7} + q^{9} - 5 q^{11} + 2 q^{13} + 2 q^{15} - q^{19} + O(q^{20})\) Copy content Toggle raw display