Properties

Label 303450gu
Number of curves $1$
Conductor $303450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gu1")
 
E.isogeny_class()
 

Elliptic curves in class 303450gu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.gu1 303450gu1 \([1, 0, 0, -328888, -213716608]\) \(-417267265/1850688\) \(-17449652069325000000\) \([]\) \(6220800\) \(2.3770\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450gu1 has rank \(1\).

Complex multiplication

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

Modular form 303450.2.a.gu

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{7} + q^{8} + q^{9} + 2 q^{11} + q^{12} + q^{14} + q^{16} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display