Properties

Label 355740a
Number of curves $1$
Conductor $355740$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 355740a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
355740.a1 355740a1 \([0, -1, 0, -179846, 74508645]\) \(-3937024/12375\) \(-2022113931623478000\) \([]\) \(5806080\) \(2.1991\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 355740a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 355740a do not have complex multiplication.

Modular form 355740.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 7 q^{13} + q^{15} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display