Show commands:
SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 374790.do
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.do1 | 374790do1 | \([1, 0, 0, 415608455, -1099185320725]\) | \(8945542253538201956399/5764961242675781250\) | \(-5116424323697090148925781250\) | \([]\) | \(276756480\) | \(4.0058\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.do1 has rank \(0\).
Complex multiplication
The elliptic curves in class 374790.do do not have complex multiplication.Modular form 374790.2.a.do
sage: E.q_eigenform(10)