Properties

Label 20328w
Number of curves $1$
Conductor $20328$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 20328w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20328.o1 20328w1 \([0, 1, 0, -161, -717]\) \(123904/21\) \(78710016\) \([]\) \(5376\) \(0.23585\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20328w1 has rank \(0\).

Complex multiplication

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

Modular form 20328.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} + q^{9} - q^{15} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display