Properties

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

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 363726bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
363726.bg1 363726bg1 \([1, -1, 0, -7596, -308016]\) \(-49958012987/13851648\) \(-13440240202752\) \([]\) \(737280\) \(1.2348\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 363726bg1 has rank \(1\).

Complex multiplication

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

Modular form 363726.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 2 q^{5} + 3 q^{7} - q^{8} - 2 q^{10} + 3 q^{13} - 3 q^{14} + q^{16} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display