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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 34914.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34914.e1 | 34914j1 | \([1, 1, 0, 4623162, -46753382124]\) | \(20657855188840838401319/1797167311782439550976\) | \(-950701507932910522466304\) | \([]\) | \(5679360\) | \(3.2804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34914.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 34914.e do not have complex multiplication.Modular form 34914.2.a.e
sage: E.q_eigenform(10)