Properties

Label 1530.o
Number of curves $1$
Conductor $1530$
CM no
Rank $0$

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

Elliptic curves in class 1530.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1530.o1 1530n1 \([1, -1, 1, -92, 361]\) \(-116930169/170\) \(-123930\) \([]\) \(280\) \(-0.12066\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1530.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1530.o do not have complex multiplication.

Modular form 1530.2.a.o

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