Properties

Label 380880.b
Number of curves $1$
Conductor $380880$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 380880.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380880.b1 380880b1 \([0, 0, 0, -483, 7682]\) \(-426006/625\) \(-18282240000\) \([]\) \(270336\) \(0.66100\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380880.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 380880.b do not have complex multiplication.

Modular form 380880.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5 q^{7} + 3 q^{11} - 2 q^{13} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display