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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 34914x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
34914.y1 | 34914x1 | \([1, 1, 1, -95408864, -357300541951]\) | \(648817971720191270353/3006677182316544\) | \(445096129620244670447616\) | \([]\) | \(9630720\) | \(3.3881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34914x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 34914x do not have complex multiplication.Modular form 34914.2.a.x
sage: E.q_eigenform(10)