Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("cd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 112710cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112710.cd1 112710cd1 \([1, 1, 1, -370215, 92562657]\) \(-804441463921/66832740\) \(-466208983357418340\) \([]\) \(2056320\) \(2.1358\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112710cd1 has rank \(0\).

Complex multiplication

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

Modular form 112710.2.a.cd

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - 2q^{7} + q^{8} + q^{9} + q^{10} + 3q^{11} - q^{12} - q^{13} - 2q^{14} - q^{15} + q^{16} + q^{18} + 5q^{19} + O(q^{20})\)  Toggle raw display