Properties

Label 369600.gb
Number of curves $1$
Conductor $369600$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("gb1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 369600.gb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.gb1 369600gb1 \([0, -1, 0, -59333, -5096163]\) \(2255900800000/201331053\) \(2061629982720000\) \([]\) \(2027520\) \(1.6784\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600.gb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 369600.gb do not have complex multiplication.

Modular form 369600.2.a.gb

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + q^{11} + 5 q^{13} - 3 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display