Properties

Label 83790a
Number of curves $1$
Conductor $83790$
CM no
Rank $1$

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

Elliptic curves in class 83790a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
83790.g1 83790a1 \([1, -1, 0, 285, 405]\) \(39413493/24320\) \(-1576592640\) \([]\) \(43008\) \(0.45402\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 83790a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 83790a do not have complex multiplication.

Modular form 83790.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} - 4 q^{11} + 3 q^{13} + q^{16} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display