Properties

Label 76050.gc
Number of curves $1$
Conductor $76050$
CM no
Rank $0$

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

Elliptic curves in class 76050.gc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76050.gc1 76050fz1 \([1, -1, 1, 18220, -10455753]\) \(304175/21632\) \(-47573415648720000\) \([]\) \(846720\) \(1.8796\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76050.gc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 76050.gc do not have complex multiplication.

Modular form 76050.2.a.gc

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 4 q^{7} + q^{8} + q^{11} + 4 q^{14} + q^{16} + 7 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display