Properties

Label 270802.g
Number of curves $1$
Conductor $270802$
CM no
Rank $0$

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

Elliptic curves in class 270802.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270802.g1 270802g1 \([1, -1, 0, -56, -150]\) \(-23326353/322\) \(-270802\) \([]\) \(28800\) \(-0.15113\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270802.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 270802.g do not have complex multiplication.

Modular form 270802.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 2q^{5} - q^{7} - q^{8} - 3q^{9} - 2q^{10} + 2q^{11} + 3q^{13} + q^{14} + q^{16} - 3q^{17} + 3q^{18} - 4q^{19} + O(q^{20})\)  Toggle raw display