Properties

Label 270480k
Number of curves $1$
Conductor $270480$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 270480k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270480.k1 270480k1 \([0, -1, 0, -401, 5181]\) \(-569906176/547515\) \(-6868028160\) \([]\) \(154368\) \(0.58368\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270480k1 has rank \(1\).

Complex multiplication

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

Modular form 270480.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 2 q^{11} - 4 q^{13} + q^{15} + q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display