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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 127995.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
127995.j1 | 127995f1 | \([0, -1, 1, 8689, 24302]\) | \(72540930275311616/42299280867795\) | \(-42299280867795\) | \([]\) | \(315840\) | \(1.3041\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 127995.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 127995.j do not have complex multiplication.Modular form 127995.2.a.j
sage: E.q_eigenform(10)