Properties

Label 303450gy
Number of curves $1$
Conductor $303450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gy1")
 
E.isogeny_class()
 

Elliptic curves in class 303450gy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.gy1 303450gy1 \([1, 0, 0, -3763, 120017]\) \(-2088025/1008\) \(-2844843750000\) \([]\) \(622080\) \(1.0953\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450gy1 has rank \(0\).

Complex multiplication

The elliptic curves in class 303450gy do not have complex multiplication.

Modular form 303450.2.a.gy

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{7} + q^{8} + q^{9} + 3 q^{11} + q^{12} + q^{14} + q^{16} + q^{18} + O(q^{20})\) Copy content Toggle raw display