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SageMath
E = EllipticCurve("eh1")
E.isogeny_class()
Elliptic curves in class 259182.eh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.eh1 | 259182eh1 | \([1, -1, 1, -1622633, -794324055]\) | \(44267613003805081/54092365824\) | \(577343453133275136\) | \([]\) | \(4815360\) | \(2.3181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.eh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.eh do not have complex multiplication.Modular form 259182.2.a.eh
sage: E.q_eigenform(10)