Properties

Label 279174c
Number of curves $1$
Conductor $279174$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 279174c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
279174.c1 279174c1 \([1, 1, 0, -469401, -510709275]\) \(-39578501433808712953/366679396931428224\) \(-105970345713182756736\) \([]\) \(10692864\) \(2.5249\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 279174c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 279174c do not have complex multiplication.

Modular form 279174.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - 2 q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + 2 q^{10} - 3 q^{11} - q^{12} + 6 q^{13} - q^{14} + 2 q^{15} + q^{16} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display