Properties

Label 15030.h
Number of curves $1$
Conductor $15030$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 15030.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15030.h1 15030e1 \([1, -1, 0, 216, -3920]\) \(1524845951/9739440\) \(-7100051760\) \([]\) \(10752\) \(0.57207\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15030.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15030.h do not have complex multiplication.

Modular form 15030.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + 2 q^{7} - q^{8} - q^{10} + 5 q^{11} + q^{13} - 2 q^{14} + q^{16} - 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display