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SageMath
E = EllipticCurve("ew1")
E.isogeny_class()
Elliptic curves in class 259182.ew
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.ew1 | 259182ew1 | \([1, -1, 1, -36752, -2702653]\) | \(-5657831164259/1904\) | \(-1847449296\) | \([]\) | \(562176\) | \(1.1356\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.ew1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.ew do not have complex multiplication.Modular form 259182.2.a.ew
sage: E.q_eigenform(10)