Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 104544o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
104544.i1 | 104544o1 | \([0, 0, 0, -26136, -1724976]\) | \(-13824\) | \(-142826025627648\) | \([]\) | \(311040\) | \(1.4656\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 104544o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 104544o do not have complex multiplication.Modular form 104544.2.a.o
sage: E.q_eigenform(10)