Properties

Label 215600gb
Number of curves $1$
Conductor $215600$
CM no
Rank $1$

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

Elliptic curves in class 215600gb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215600.bh1 215600gb1 \([0, 1, 0, -148633, 21550563]\) \(56243200/1331\) \(8593704146720000\) \([]\) \(1999872\) \(1.8427\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215600gb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 215600gb do not have complex multiplication.

Modular form 215600.2.a.gb

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} - q^{11} + 7 q^{13} + 7 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display