Properties

Label 1470.l
Number of curves $1$
Conductor $1470$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("1470.l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1470.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1470.l1 1470l1 [1, 1, 1, -2990, 71147] [] 3120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1470.l1 has rank \(1\).

Modular form 1470.2.a.l

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{8} + q^{9} + q^{10} - 5q^{11} - q^{12} - 5q^{13} - q^{15} + q^{16} - 4q^{17} + q^{18} - 7q^{19} + O(q^{20}) \)