Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 121680.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121680.o1 | 121680dx1 | \([0, 0, 0, -19773, 771147]\) | \(89856/25\) | \(237867078243600\) | \([]\) | \(419328\) | \(1.4658\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121680.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121680.o do not have complex multiplication.Modular form 121680.2.a.o
sage: E.q_eigenform(10)