Properties

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

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

Elliptic curves in class 1470l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1470.l1 1470l1 \([1, 1, 1, -2990, 71147]\) \(-1231272543361/230400000\) \(-553190400000\) \([]\) \(3120\) \(0.97755\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 1470l do not have complex multiplication.

Modular form 1470.2.a.l

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