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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 54450x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54450.h1 | 54450x1 | \([1, -1, 0, -13272, -576064]\) | \(7177599/128\) | \(4610860848000\) | \([]\) | \(193536\) | \(1.2258\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54450x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54450x do not have complex multiplication.Modular form 54450.2.a.x
sage: E.q_eigenform(10)