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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 270480o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270480.o1 | 270480o1 | \([0, -1, 0, 23259, -1913715]\) | \(2887553024/4927635\) | \(-2374579528151040\) | \([]\) | \(1267200\) | \(1.6353\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 270480o do not have complex multiplication.Modular form 270480.2.a.o
sage: E.q_eigenform(10)