Properties

Label 405600gc
Number of curves $1$
Conductor $405600$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("gc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 405600gc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.gc1 405600gc1 \([0, 1, 0, 377152, -2121332472]\) \(43709080/14348907\) \(-1947686083644611980800\) \([]\) \(22913280\) \(2.7642\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600gc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 405600gc do not have complex multiplication.

Modular form 405600.2.a.gc

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2q^{7} + q^{9} + 4q^{11} - 6q^{17} + 7q^{19} + O(q^{20})\)  Toggle raw display