Properties

Label 4650.bv
Number of curves $1$
Conductor $4650$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("bv1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4650.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4650.bv1 4650bo1 \([1, 0, 0, -5088, -158208]\) \(-932288503609/148800000\) \(-2325000000000\) \([]\) \(8640\) \(1.1010\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4650.bv1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4650.bv do not have complex multiplication.

Modular form 4650.2.a.bv

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + 3q^{7} + q^{8} + q^{9} + 3q^{11} + q^{12} + 2q^{13} + 3q^{14} + q^{16} + 4q^{17} + q^{18} - 3q^{19} + O(q^{20})\)  Toggle raw display