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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 102550.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.j1 | 102550o1 | \([1, 1, 0, -2450, -48500]\) | \(-833237621/16408\) | \(-32046875000\) | \([]\) | \(112320\) | \(0.80897\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102550.j do not have complex multiplication.Modular form 102550.2.a.j
sage: E.q_eigenform(10)