Properties

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

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 4650.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4650.bi1 4650bv1 \([1, 0, 0, 1112, -255358]\) \(77854483/14478426\) \(-28278175781250\) \([]\) \(16800\) \(1.2603\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4650.bi1 has rank \(0\).

Complex multiplication

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

Modular form 4650.2.a.bi

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} - 5 q^{7} + q^{8} + q^{9} - q^{11} + q^{12} - 5 q^{14} + q^{16} + 4 q^{17} + q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display