Properties

Label 6480.e
Number of curves $1$
Conductor $6480$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 6480.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6480.e1 6480b1 \([0, 0, 0, -3, 98]\) \(-18/25\) \(-4147200\) \([]\) \(960\) \(-0.051180\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6480.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6480.e do not have complex multiplication.

Modular form 6480.2.a.e

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