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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 259182.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.v1 | 259182v1 | \([1, -1, 0, -278059293, -1810224613499]\) | \(-15214824455918309233/254808172265472\) | \(-39818267719155241572630528\) | \([]\) | \(96307200\) | \(3.7113\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.v do not have complex multiplication.Modular form 259182.2.a.v
sage: E.q_eigenform(10)