Properties

Label 3630e
Number of curves $1$
Conductor $3630$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 3630e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3630.e1 3630e1 \([1, 1, 0, -3632, -78294]\) \(24729001/2430\) \(520892080830\) \([]\) \(5280\) \(0.98512\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3630e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3630e do not have complex multiplication.

Modular form 3630.2.a.e

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