Properties

Label 380880.l
Number of curves $1$
Conductor $380880$
CM no
Rank $0$

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

Elliptic curves in class 380880.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380880.l1 380880l1 \([0, 0, 0, 3540597, 34140602]\) \(20991479/12150\) \(-2841099491240613273600\) \([]\) \(16957440\) \(2.8060\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380880.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 380880.l do not have complex multiplication.

Modular form 380880.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} + q^{11} + 4 q^{13} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display