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Properties

Label 485100bz
Number of curves $1$
Conductor $485100$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bz1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 485100bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 485100bz do not have complex multiplication.

Modular form 485100.2.a.bz

Copy content sage:E.q_eigenform(10)
 
\(q - q^{11} + q^{13} - 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 485100bz

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485100.bz1 485100bz1 \([0, 0, 0, -18812325, -31406666375]\) \(-34339609640704/916839\) \(-19658431152879750000\) \([]\) \(19353600\) \(2.8070\) \(\Gamma_0(N)\)-optimal