Properties

Label 450800.m
Number of curves $1$
Conductor $450800$
CM no
Rank $1$

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

Elliptic curves in class 450800.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.m1 450800m1 \([0, 1, 0, 25730717, 16106492688]\) \(26678349092864/17024127235\) \(-1202223644928576628750000\) \([]\) \(57576960\) \(3.3095\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 450800.m do not have complex multiplication.

Modular form 450800.2.a.m

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} - 4 q^{11} + 2 q^{13} - 7 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display