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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 248430o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248430.o1 | 248430o1 | \([1, 1, 0, -300567348, -9465278928048]\) | \(-107920681386000721/1328441886720000\) | \(-36964683728989441288980480000\) | \([]\) | \(284497920\) | \(4.1634\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248430o do not have complex multiplication.Modular form 248430.2.a.o
sage: E.q_eigenform(10)