Properties

Label 112710.cg
Number of curves $1$
Conductor $112710$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 112710.cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112710.cg1 112710cf1 \([1, 1, 1, -14617915, 21507229145]\) \(-171352638803089/14236560\) \(-28700818123376215440\) \([]\) \(6345216\) \(2.7776\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112710.cg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 112710.cg do not have complex multiplication.

Modular form 112710.2.a.cg

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{8} + q^{9} + q^{10} - q^{11} - q^{12} + q^{13} - q^{15} + q^{16} + q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display