Properties

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

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Show commands: SageMath
E = EllipticCurve("dl1")
 
E.isogeny_class()
 

Elliptic curves in class 182070dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
182070.o1 182070dl1 \([1, -1, 0, 9272970, 974360776]\) \(418557259677940327871/244176605948362500\) \(-51443371517806959862500\) \([]\) \(17510400\) \(3.0473\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 182070dl1 has rank \(0\).

Complex multiplication

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

Modular form 182070.2.a.dl

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