Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 20328.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20328.m1 20328h1 \([0, 1, 0, 1256908, -2469488991]\) \(5820759945472/73222472421\) \(-2762476156390530078576\) \([]\) \(887040\) \(2.7950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20328.m1 has rank \(1\).

Complex multiplication

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

Modular form 20328.2.a.m

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