Properties

Label 355740be
Number of curves $1$
Conductor $355740$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 355740be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
355740.be1 355740be1 \([0, -1, 0, -2587020, -1610969688]\) \(-6052816/45\) \(-14235682078629285120\) \([]\) \(9047808\) \(2.5061\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 355740be1 has rank \(0\).

Complex multiplication

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

Modular form 355740.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - 2 q^{13} - q^{15} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display