Properties

Label 36300bg
Number of curves $1$
Conductor $36300$
CM no
Rank $0$

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

Elliptic curves in class 36300bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36300.a1 36300bg1 \([0, -1, 0, 35292, 2637912]\) \(27440/33\) \(-5846151300000000\) \([]\) \(345600\) \(1.7116\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36300bg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 36300bg do not have complex multiplication.

Modular form 36300.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} - 4 q^{13} + 5 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display