Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 39984.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39984.o1 | 39984bq1 | \([0, -1, 0, -190136, 96190704]\) | \(-4599141247/21489462\) | \(-3551958237959921664\) | \([]\) | \(677376\) | \(2.2442\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39984.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39984.o do not have complex multiplication.Modular form 39984.2.a.o
sage: E.q_eigenform(10)