Properties

Label 1483.a
Number of curves $1$
Conductor $1483$
CM no
Rank $2$

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

Elliptic curves in class 1483.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1483.a1 1483a1 \([0, 1, 1, 2, 2]\) \(512000/1483\) \(-1483\) \([]\) \(120\) \(-0.70808\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1483.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 1483.a do not have complex multiplication.

Modular form 1483.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - 2 q^{3} + 2 q^{4} + 4 q^{6} - 3 q^{7} + q^{9} - 6 q^{11} - 4 q^{12} - 3 q^{13} + 6 q^{14} - 4 q^{16} + 3 q^{17} - 2 q^{18} + O(q^{20})\) Copy content Toggle raw display