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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 200277p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.o1 | 200277p1 | \([0, 0, 1, 13677792, 83288999542]\) | \(55648414859264/621508960611\) | \(-3160576406583531825052779\) | \([]\) | \(22560768\) | \(3.3820\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200277p do not have complex multiplication.Modular form 200277.2.a.p
sage: E.q_eigenform(10)