Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 15030.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15030.o1 15030k1 \([1, -1, 1, 3238, -53351]\) \(190804533093/171008000\) \(-3365950464000\) \([]\) \(29952\) \(1.0911\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15030.o1 has rank \(1\).

Complex multiplication

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

Modular form 15030.2.a.o

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