Properties

Label 120384.l
Number of curves $1$
Conductor $120384$
CM no
Rank $1$

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

Elliptic curves in class 120384.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
120384.l1 120384a1 \([0, 0, 0, 864, -7776]\) \(221184/209\) \(-67399630848\) \([]\) \(101376\) \(0.76499\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 120384.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 120384.l do not have complex multiplication.

Modular form 120384.2.a.l

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