Properties

Label 203280.g
Number of curves $1$
Conductor $203280$
CM no
Rank $1$

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

Elliptic curves in class 203280.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
203280.g1 203280dz1 \([0, -1, 0, -106, 1531]\) \(-68679424/459375\) \(-889350000\) \([]\) \(80640\) \(0.40054\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 203280.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 203280.g do not have complex multiplication.

Modular form 203280.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} - 4 q^{13} + q^{15} + 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display