Properties

Label 270802.c
Number of curves $1$
Conductor $270802$
CM no
Rank $0$

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

Elliptic curves in class 270802.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270802.c1 270802c1 \([1, 1, 0, -136263883, -612317399299]\) \(-19287858777773741/877581376\) \(-12731201127335979815744\) \([]\) \(48330240\) \(3.3176\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 270802.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 270802.c do not have complex multiplication.

Modular form 270802.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} - 2q^{9} + q^{10} + 3q^{11} - q^{12} + 5q^{13} - q^{14} + q^{15} + q^{16} + 6q^{17} + 2q^{18} - 4q^{19} + O(q^{20})\)  Toggle raw display