Properties

Label 145794.c
Number of curves $1$
Conductor $145794$
CM no
Rank $2$

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

Elliptic curves in class 145794.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145794.c1 145794bi1 \([1, 1, 0, -138108, 19697616]\) \(-59702662883209/278784\) \(-1360376987904\) \([]\) \(903168\) \(1.5308\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145794.c1 has rank \(2\).

Complex multiplication

The elliptic curves in class 145794.c do not have complex multiplication.

Modular form 145794.2.a.c

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