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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 369600.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369600.n1 | 369600n1 | \([0, -1, 0, -207143333, 1144170767037]\) | \(153587764760452480000/526418089637517\) | \(3369075773680108800000000\) | \([]\) | \(94003200\) | \(3.5698\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 369600.n do not have complex multiplication.Modular form 369600.2.a.n
sage: E.q_eigenform(10)