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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 5472.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5472.n1 | 5472k1 | \([0, 0, 0, 168, 3152]\) | \(175616/1539\) | \(-4595429376\) | \([]\) | \(2048\) | \(0.53533\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5472.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5472.n do not have complex multiplication.Modular form 5472.2.a.n
sage: E.q_eigenform(10)