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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 205350.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
205350.n1 | 205350dn1 | \([1, 1, 0, -59227075, -175395117875]\) | \(3349197413/1536\) | \(10537438361763000000000\) | \([]\) | \(28771200\) | \(3.1827\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 205350.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 205350.n do not have complex multiplication.Modular form 205350.2.a.n
sage: E.q_eigenform(10)