Properties

Label 361920l
Number of curves $1$
Conductor $361920$
CM no
Rank $1$

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

Elliptic curves in class 361920l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
361920.l1 361920l1 \([0, -1, 0, -229341, 42439455]\) \(-20844464253240180736/50946308521875\) \(-3260563745400000\) \([]\) \(2488320\) \(1.8552\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 361920l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 361920l do not have complex multiplication.

Modular form 361920.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} - q^{11} - q^{13} + q^{15} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display