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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 35739.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35739.p1 | 35739p1 | \([1, -1, 0, -495, -3146]\) | \(51026761/11979\) | \(3152501451\) | \([]\) | \(17280\) | \(0.53438\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35739.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35739.p do not have complex multiplication.Modular form 35739.2.a.p
sage: E.q_eigenform(10)