Properties

Label 15210.l
Number of curves $1$
Conductor $15210$
CM no
Rank $0$

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

Elliptic curves in class 15210.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15210.l1 15210p1 \([1, -1, 0, -44550, 3630420]\) \(-79370312059129/12960\) \(-1596684960\) \([]\) \(53760\) \(1.1674\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15210.l1 has rank \(0\).

Complex multiplication

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

Modular form 15210.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 5 q^{7} - q^{8} + q^{10} - 3 q^{11} - 5 q^{14} + q^{16} + 8 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display