Properties

Label 203280ec
Number of curves $1$
Conductor $203280$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ec1")
 
E.isogeny_class()
 

Elliptic curves in class 203280ec

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
203280.q1 203280ec1 \([0, -1, 0, -2581, 62185]\) \(-4194304/1155\) \(-523815156480\) \([]\) \(230400\) \(0.96456\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 203280ec1 has rank \(1\).

Complex multiplication

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

Modular form 203280.2.a.ec

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