Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 270480.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270480.g1 270480g1 \([0, -1, 0, -506, -69]\) \(373698304/215625\) \(8283450000\) \([]\) \(149760\) \(0.59266\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270480.g1 has rank \(0\).

Complex multiplication

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

Modular form 270480.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 3 q^{11} - 4 q^{13} + q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display