Show commands:
SageMath
E = EllipticCurve("la1")
E.isogeny_class()
Elliptic curves in class 84672.la
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84672.la1 | 84672kx1 | \([0, 0, 0, -21168, -1481760]\) | \(-3072\) | \(-341461686730752\) | \([]\) | \(380160\) | \(1.5012\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84672.la1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84672.la do not have complex multiplication.Modular form 84672.2.a.la
sage: E.q_eigenform(10)