Properties

Label 15210a
Number of curves $1$
Conductor $15210$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 15210a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15210.i1 15210a1 \([1, -1, 0, -3795, -104779]\) \(-1817378667/400000\) \(-1330570800000\) \([]\) \(20160\) \(1.0470\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15210a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15210a do not have complex multiplication.

Modular form 15210.2.a.a

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