Properties

Label 272734.c
Number of curves $1$
Conductor $272734$
CM no
Rank $0$

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

Elliptic curves in class 272734.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
272734.c1 272734c1 \([1, 0, 1, -40539238, -98117671368]\) \(701476100299318729/10023806115968\) \(105285901256612978878592\) \([]\) \(70963200\) \(3.2219\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 272734.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 272734.c do not have complex multiplication.

Modular form 272734.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - 2 q^{3} + q^{4} - 4 q^{5} + 2 q^{6} - q^{8} + q^{9} + 4 q^{10} - 2 q^{12} + 6 q^{13} + 8 q^{15} + q^{16} - 5 q^{17} - q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display