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SageMath
E = EllipticCurve("eh1")
E.isogeny_class()
Elliptic curves in class 424830eh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.eh1 | 424830eh1 | \([1, 0, 1, -169573, -26893744]\) | \(-2239996279676393/248832000\) | \(-59903069184000\) | \([]\) | \(2695680\) | \(1.6724\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830eh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 424830eh do not have complex multiplication.Modular form 424830.2.a.eh
sage: E.q_eigenform(10)