Properties

Label 227154v
Number of curves $1$
Conductor $227154$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 227154v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227154.c1 227154v1 \([1, 1, 0, -4774, 281128]\) \(-498677257/1145988\) \(-27661364423172\) \([]\) \(739200\) \(1.2677\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227154v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 227154v do not have complex multiplication.

Modular form 227154.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + 2 q^{5} + q^{6} + 2 q^{7} - q^{8} + q^{9} - 2 q^{10} - 3 q^{11} - q^{12} - 5 q^{13} - 2 q^{14} - 2 q^{15} + q^{16} - q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display