Properties

Label 402930.u
Number of curves $1$
Conductor $402930$
CM no
Rank $1$

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

Elliptic curves in class 402930.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402930.u1 402930u1 \([1, -1, 0, -209655, 487799901]\) \(-789145184521/79120800000\) \(-102181978881655200000\) \([]\) \(15360000\) \(2.5190\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 402930.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 402930.u do not have complex multiplication.

Modular form 402930.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 2 q^{7} - q^{8} + q^{10} - 6 q^{13} - 2 q^{14} + q^{16} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display