Properties

Label 100800gw
Number of curves $1$
Conductor $100800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gw1")
 
E.isogeny_class()
 

Elliptic curves in class 100800gw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
100800.gd1 100800gw1 \([0, 0, 0, -1440, -21600]\) \(-221184/7\) \(-10450944000\) \([]\) \(64512\) \(0.69869\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 100800gw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 100800gw do not have complex multiplication.

Modular form 100800.2.a.gw

sage: E.q_eigenform(10)
 
\(q - q^{7} + 3 q^{11} + q^{13} - 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display