Properties

Label 270480.u
Number of curves $1$
Conductor $270480$
CM no
Rank $1$

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

Elliptic curves in class 270480.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270480.u1 270480u1 \([0, -1, 0, -9816, -387120]\) \(-21274016498/1078125\) \(-5301408000000\) \([]\) \(488448\) \(1.2022\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270480.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 270480.u do not have complex multiplication.

Modular form 270480.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - q^{11} + q^{15} + 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display