Properties

Label 182070cm
Number of curves $1$
Conductor $182070$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("cm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 182070cm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
182070.bm1 182070cm1 \([1, -1, 0, -819, -10017]\) \(-288568081/47250\) \(-9954677250\) \([]\) \(155520\) \(0.64591\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 182070cm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 182070cm do not have complex multiplication.

Modular form 182070.2.a.cm

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + q^{7} - q^{8} - q^{10} - 2q^{11} + 4q^{13} - q^{14} + q^{16} + 6q^{19} + O(q^{20})\)  Toggle raw display