Properties

Label 15030.p
Number of curves $1$
Conductor $15030$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 15030.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15030.p1 15030n1 \([1, -1, 1, -2642, -51631]\) \(-2796665386969/1923840\) \(-1402479360\) \([]\) \(15360\) \(0.69242\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15030.p1 has rank \(0\).

Complex multiplication

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

Modular form 15030.2.a.p

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