Properties

Label 360789l
Number of curves $1$
Conductor $360789$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 360789l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
360789.l1 360789l1 \([0, 1, 1, -90267, -33365842]\) \(-115006810390528/612198951507\) \(-432996686620822467\) \([]\) \(3886080\) \(2.0683\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 360789l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 360789l do not have complex multiplication.

Modular form 360789.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} + 2 q^{5} + 5 q^{7} + q^{9} + q^{11} - 2 q^{12} - q^{13} + 2 q^{15} + 4 q^{16} + 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display