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Properties

Label 462462bc
Number of curves $1$
Conductor $462462$
CM no
Rank $0$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 462462bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 462462bc do not have complex multiplication.

Modular form 462462.2.a.bc

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

Elliptic curves in class 462462bc

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
462462.bc1 462462bc1 \([1, 1, 0, -115445829930, -13236321467612844]\) \(1138013177660908404625/152393548560334848\) \(22786506865002494728411623664386048\) \([]\) \(4726149120\) \(5.3202\) \(\Gamma_0(N)\)-optimal