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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 346560p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.p1 | 346560p1 | \([0, -1, 0, -2780181, -1780397235]\) | \(23658496/45\) | \(4520312530551521280\) | \([]\) | \(7879680\) | \(2.4692\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 346560p do not have complex multiplication.Modular form 346560.2.a.p
sage: E.q_eigenform(10)