Properties

Label 370.c
Number of curves $1$
Conductor $370$
CM no
Rank $0$

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

Elliptic curves in class 370.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
370.c1 370b1 \([1, 1, 0, 13, -19]\) \(214921799/378880\) \(-378880\) \([]\) \(44\) \(-0.24473\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 370.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 370.c do not have complex multiplication.

Modular form 370.2.a.c

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