Properties

Label 110946.c
Number of curves $1$
Conductor $110946$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 110946.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110946.c1 110946f1 \([1, 1, 0, -6916509, 7490424699]\) \(-4582619467033/385826166\) \(-3080793086948426980086\) \([]\) \(8954400\) \(2.8684\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110946.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 110946.c do not have complex multiplication.

Modular form 110946.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - 3 q^{5} + q^{6} - q^{7} - q^{8} + q^{9} + 3 q^{10} - q^{11} - q^{12} + q^{14} + 3 q^{15} + q^{16} + 8 q^{17} - q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display