Properties

Label 476850bc
Number of curves $1$
Conductor $476850$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 476850bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476850.bc1 476850bc1 \([1, 1, 0, -57488030, -411261877500]\) \(-6963898974088537853/20183964977485584\) \(-60898980917205216288162000\) \([]\) \(129392640\) \(3.6346\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 476850bc1 has rank \(0\).

Complex multiplication

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

Modular form 476850.2.a.bc

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