Properties

Label 363726c
Number of curves $1$
Conductor $363726$
CM no
Rank $1$

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

Elliptic curves in class 363726c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
363726.c1 363726c1 \([1, -1, 0, 164961, -82810931]\) \(3176852591/20777472\) \(-3246846187340118528\) \([]\) \(11024640\) \(2.2338\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 363726c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 363726c do not have complex multiplication.

Modular form 363726.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 4 q^{5} + 2 q^{7} - q^{8} + 4 q^{10} + 5 q^{13} - 2 q^{14} + q^{16} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display