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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 177870.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177870.o1 | 177870jb1 | \([1, 1, 0, -25939498, 51402052948]\) | \(-3750375890337769/48318382080\) | \(-24868295828872605204480\) | \([]\) | \(20908800\) | \(3.1064\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177870.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177870.o do not have complex multiplication.Modular form 177870.2.a.o
sage: E.q_eigenform(10)