Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 270802u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270802.u1 270802u1 \([1, 0, 0, 180377, -45505541]\) \(1297427375/2540258\) \(-1270754952495483938\) \([]\) \(2951040\) \(2.1584\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270802u1 has rank \(0\).

Complex multiplication

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

Modular form 270802.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{7} + q^{8} - 2q^{9} + 3q^{11} + q^{12} - 2q^{13} + q^{14} + q^{16} + 2q^{17} - 2q^{18} - 3q^{19} + O(q^{20})\)  Toggle raw display