Properties

Label 478800.oz
Number of curves $1$
Conductor $478800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("oz1")
 
E.isogeny_class()
 

Elliptic curves in class 478800.oz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
478800.oz1 478800oz1 \([0, 0, 0, -121969875, 518477071250]\) \(-172041783999846385/1179967488\) \(-1376314078003200000000\) \([]\) \(50319360\) \(3.2368\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 478800.oz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 478800.oz do not have complex multiplication.

Modular form 478800.2.a.oz

sage: E.q_eigenform(10)
 
\(q + q^{7} + 5 q^{11} + 4 q^{13} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display