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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 259182p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.p1 | 259182p1 | \([1, -1, 0, 7419, -47899]\) | \(34965783/20944\) | \(-27048505142736\) | \([]\) | \(860160\) | \(1.2667\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182p do not have complex multiplication.Modular form 259182.2.a.p
sage: E.q_eigenform(10)