Properties

Label 61200gg
Number of curves $1$
Conductor $61200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gg1")
 
E.isogeny_class()
 

Elliptic curves in class 61200gg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
61200.e1 61200gg1 \([0, 0, 0, 195405, -5398670]\) \(11053587253415/6565418768\) \(-490105884863692800\) \([]\) \(967680\) \(2.0838\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61200gg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 61200gg do not have complex multiplication.

Modular form 61200.2.a.gg

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} + 4 q^{11} - 3 q^{13} + q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display