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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 118354.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.o1 | 118354u1 | \([1, 1, 1, -202920211387, 35183175042714441]\) | \(-21907234671397038959171876713/702726803554304\) | \(-29641391577754718242340864\) | \([]\) | \(537868800\) | \(4.8398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 118354.o do not have complex multiplication.Modular form 118354.2.a.o
sage: E.q_eigenform(10)