Properties

Label 303450.u
Number of curves $1$
Conductor $303450$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 303450.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.u1 303450u1 \([1, 1, 0, -903275, -200292675]\) \(18694465225/6858432\) \(29901723785995320000\) \([]\) \(13571712\) \(2.4373\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450.u1 has rank \(1\).

Complex multiplication

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

Modular form 303450.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} + 4q^{11} - q^{12} + 3q^{13} + q^{14} + q^{16} - q^{18} - 2q^{19} + O(q^{20})\)  Toggle raw display