Properties

Label 291312ft
Number of curves $1$
Conductor $291312$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ft1")
 
E.isogeny_class()
 

Elliptic curves in class 291312ft

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
291312.ft1 291312ft1 \([0, 0, 0, 40749, 3796882]\) \(30004847/42336\) \(-10558275362095104\) \([]\) \(1658880\) \(1.7602\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 291312ft1 has rank \(1\).

Complex multiplication

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

Modular form 291312.2.a.ft

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + q^{7} + q^{11} + 4 q^{13} + O(q^{20})\) Copy content Toggle raw display