Properties

Label 283220b
Number of curves $1$
Conductor $283220$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 283220b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
283220.b1 283220b1 \([0, 0, 0, -2023, 68782]\) \(-3024/5\) \(-1513908327680\) \([]\) \(737280\) \(1.0280\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 283220b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 283220b do not have complex multiplication.

Modular form 283220.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} + 6 q^{9} + 2 q^{11} + 6 q^{13} + 3 q^{15} + O(q^{20})\) Copy content Toggle raw display