Properties

Label 76230.o
Number of curves $1$
Conductor $76230$
CM no
Rank $1$

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

Elliptic curves in class 76230.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76230.o1 76230f1 \([1, -1, 0, -105, -819]\) \(-39397347/71680\) \(-234178560\) \([]\) \(29568\) \(0.29608\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76230.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 76230.o do not have complex multiplication.

Modular form 76230.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - 6 q^{13} - q^{14} + q^{16} + O(q^{20})\) Copy content Toggle raw display