Properties

Label 80920.m
Number of curves $1$
Conductor $80920$
CM no
Rank $1$

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

Elliptic curves in class 80920.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
80920.m1 80920h1 \([0, 1, 0, -385, 22435]\) \(-1024/35\) \(-216272618240\) \([]\) \(80640\) \(0.85528\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 80920.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 80920.m do not have complex multiplication.

Modular form 80920.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} - 2 q^{9} + 5 q^{11} + q^{13} + q^{15} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display