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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 134310.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.p1 | 134310cf1 | \([1, 1, 0, -1510082, 703566714]\) | \(214965934543825921/3476988281250\) | \(6159696836519531250\) | \([]\) | \(5806080\) | \(2.4049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 134310.p do not have complex multiplication.Modular form 134310.2.a.p
sage: E.q_eigenform(10)