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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 272734.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272734.e1 | 272734e1 | \([1, 0, 1, -159564067, 776015689656]\) | \(-31561336767775878870433/10701003643411522\) | \(-152334447694890380365138\) | \([]\) | \(67682304\) | \(3.4203\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272734.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 272734.e do not have complex multiplication.Modular form 272734.2.a.e
sage: E.q_eigenform(10)