Properties

Label 1872.l
Number of curves $1$
Conductor $1872$
CM no
Rank $0$

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

Elliptic curves in class 1872.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1872.l1 1872e1 \([0, 0, 0, -147, -718]\) \(-235298/13\) \(-19408896\) \([]\) \(480\) \(0.15627\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1872.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1872.l do not have complex multiplication.

Modular form 1872.2.a.l

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