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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 453152n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
453152.n1 | 453152n1 | \([0, -1, 0, -5553, 153889]\) | \(136000/7\) | \(974864084992\) | \([]\) | \(442368\) | \(1.0582\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 453152n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 453152n do not have complex multiplication.Modular form 453152.2.a.n
sage: E.q_eigenform(10)