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SageMath
E = EllipticCurve("hn1")
E.isogeny_class()
Elliptic curves in class 485100.hn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.hn1 | 485100hn1 | \([0, 0, 0, 77175, -8103375]\) | \(48384/55\) | \(-57784924023750000\) | \([]\) | \(3870720\) | \(1.9027\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100.hn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485100.hn do not have complex multiplication.Modular form 485100.2.a.hn
sage: E.q_eigenform(10)