Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 355740b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
355740.b1 355740b1 \([0, -1, 0, -2877541, 1889517841]\) \(-1007878144/6075\) \(-15882785790206227200\) \([]\) \(12902400\) \(2.5239\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 355740b1 has rank \(1\).

Complex multiplication

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

Modular form 355740.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 7 q^{13} + q^{15} + 6 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display