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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 102550.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.g1 | 102550j1 | \([1, 1, 0, -140, -44720]\) | \(-12274557745/34460475392\) | \(-861511884800\) | \([]\) | \(167232\) | \(0.96911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102550.g do not have complex multiplication.Modular form 102550.2.a.g
sage: E.q_eigenform(10)