Properties

Label 369600dl
Number of curves $1$
Conductor $369600$
CM no
Rank $0$

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

Elliptic curves in class 369600dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.dl1 369600dl1 \([0, -1, 0, -4077633, -3215570463]\) \(-91528907990864450/1604769890031\) \(-131462749391339520000\) \([]\) \(12773376\) \(2.6578\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 369600dl1 has rank \(0\).

Complex multiplication

The elliptic curves in class 369600dl do not have complex multiplication.

Modular form 369600.2.a.dl

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