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SageMath
E = EllipticCurve("jo1")
E.isogeny_class()
Elliptic curves in class 127050.jo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
127050.jo1 | 127050ik1 | \([1, 0, 0, -761758, 256017092]\) | \(-1103770289367265/891813888\) | \(-39497567580979200\) | \([]\) | \(3192000\) | \(2.1142\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 127050.jo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 127050.jo do not have complex multiplication.Modular form 127050.2.a.jo
sage: E.q_eigenform(10)