Properties

Label 270480o
Number of curves $1$
Conductor $270480$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 270480o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270480.o1 270480o1 \([0, -1, 0, 23259, -1913715]\) \(2887553024/4927635\) \(-2374579528151040\) \([]\) \(1267200\) \(1.6353\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270480o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 270480o do not have complex multiplication.

Modular form 270480.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 2 q^{11} + 2 q^{13} + q^{15} - 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display