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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 221067.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221067.o1 | 221067p1 | \([0, 0, 1, -19988958, 33501393450]\) | \(5652299539972096/168301718109\) | \(26300109645918330825141\) | \([]\) | \(12418560\) | \(3.0788\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221067.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 221067.o do not have complex multiplication.Modular form 221067.2.a.o
sage: E.q_eigenform(10)