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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 1856.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1856.p1 | 1856f1 | \([0, 0, 0, -76, 368]\) | \(-185193/116\) | \(-30408704\) | \([]\) | \(768\) | \(0.13749\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1856.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1856.p do not have complex multiplication.Modular form 1856.2.a.p
sage: E.q_eigenform(10)