Properties

Label 3280363.a
Number of curves $1$
Conductor $3280363$
CM no
Rank $4$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 3280363.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
3280363.a1 \([0, 1, 1, -60, 180]\) \(-24288219136/3280363\) \(-3280363\) \([]\) \(1658880\) \(-0.017436\)

Rank

sage: E.rank()
 

The elliptic curve 3280363.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 3280363.a do not have complex multiplication.

Modular form 3280363.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - 2 q^{3} + 2 q^{4} - 4 q^{5} + 4 q^{6} - 2 q^{7} + q^{9} + 8 q^{10} - 4 q^{11} - 4 q^{12} + 4 q^{14} + 8 q^{15} - 4 q^{16} - 6 q^{17} - 2 q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display