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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 64974p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64974.u1 | 64974p1 | \([1, 0, 1, -77691, -8691770]\) | \(-440797954857625/21898985472\) | \(-2576393741795328\) | \([]\) | \(393984\) | \(1.7183\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64974p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64974p do not have complex multiplication.Modular form 64974.2.a.p
sage: E.q_eigenform(10)