Properties

Label 291312fn
Number of curves $1$
Conductor $291312$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("fn1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 291312fn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
291312.fn1 291312fn1 \([0, 0, 0, 261069, 21942002]\) \(2280364702703/1560674304\) \(-1346782916776034304\) \([]\) \(4700160\) \(2.1673\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 291312fn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 291312fn do not have complex multiplication.

Modular form 291312.2.a.fn

sage: E.q_eigenform(10)
 
\(q + 3q^{5} + q^{7} - 5q^{11} - 6q^{19} + O(q^{20})\)  Toggle raw display