Properties

Label 445280m
Number of curves $1$
Conductor $445280$
CM no
Rank $0$

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

Elliptic curves in class 445280m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.m1 445280m1 \([0, -1, 0, -54224496, 158597991796]\) \(-14605154817835672/546564453125\) \(-659850439797131000000000\) \([]\) \(52005888\) \(3.3410\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 445280m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 445280m do not have complex multiplication.

Modular form 445280.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} - 2 q^{9} - 4 q^{13} + q^{15} + 5 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display