Properties

Label 20328.a
Number of curves $1$
Conductor $20328$
CM no
Rank $1$

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

Elliptic curves in class 20328.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20328.a1 20328s1 \([0, -1, 0, -1492, -22031]\) \(-12967168/231\) \(-6547689456\) \([]\) \(19200\) \(0.68034\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20328.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20328.a do not have complex multiplication.

Modular form 20328.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} - q^{7} + q^{9} + q^{13} + 3 q^{15} + 2 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display