Properties

Label 379236e
Number of curves $1$
Conductor $379236$
CM no
Rank $1$

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

Elliptic curves in class 379236e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379236.e1 379236e1 \([0, -1, 0, -384869, -3750638607]\) \(-5102271397888/4915446963867\) \(-6073836452919273063168\) \([]\) \(30965760\) \(2.8589\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379236e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 379236e do not have complex multiplication.

Modular form 379236.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + 5 q^{7} + q^{9} + q^{11} + 2 q^{15} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display