Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 234416.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234416.o1 | 234416o1 | \([0, -1, 0, -261, -127763]\) | \(-4096/14651\) | \(-7060174843904\) | \([]\) | \(368640\) | \(1.1444\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 234416.o do not have complex multiplication.Modular form 234416.2.a.o
sage: E.q_eigenform(10)