Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 20328.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20328.h1 20328r1 \([0, -1, 0, 229376, -100918244]\) \(50250332/194481\) \(-5165400344398930944\) \([]\) \(337920\) \(2.2735\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20328.h1 has rank \(1\).

Complex multiplication

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

Modular form 20328.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} - q^{7} + q^{9} + q^{13} - 3 q^{15} + 5 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display