Properties

Label 296450fv
Number of curves $1$
Conductor $296450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fv1")
 
E.isogeny_class()
 

Elliptic curves in class 296450fv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
296450.fv1 296450fv1 \([1, -1, 1, 5895, 160647]\) \(9261/10\) \(-24467315468750\) \([]\) \(1347840\) \(1.2556\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 296450fv1 has rank \(1\).

Complex multiplication

The elliptic curves in class 296450fv do not have complex multiplication.

Modular form 296450.2.a.fv

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - 3 q^{6} + q^{8} + 6 q^{9} - 3 q^{12} + 4 q^{13} + q^{16} - q^{17} + 6 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display