Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 43890.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43890.o1 | 43890q1 | \([1, 1, 0, -3653337, -2987104539]\) | \(-5392536629608402966200601/730038240524225740800\) | \(-730038240524225740800\) | \([]\) | \(3739200\) | \(2.7355\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43890.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43890.o do not have complex multiplication.Modular form 43890.2.a.o
sage: E.q_eigenform(10)