Properties

Label 476850v
Number of curves $1$
Conductor $476850$
CM no
Rank $2$

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

Elliptic curves in class 476850v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476850.v1 476850v1 \([1, 1, 0, -94075, 83852125]\) \(-390625/12672\) \(-2987024163750000000\) \([]\) \(8279040\) \(2.2254\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 476850v1 has rank \(2\).

Complex multiplication

The elliptic curves in class 476850v do not have complex multiplication.

Modular form 476850.2.a.v

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