Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("o1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 291312.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
291312.o1 291312o1 \([0, 0, 0, 75448941, 107801055826]\) \(2280364702703/1560674304\) \(-32508065581702785559166976\) \([]\) \(79902720\) \(3.5839\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 291312.o1 has rank \(0\).

Complex multiplication

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

Modular form 291312.2.a.o

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