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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 163995.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163995.a1 | 163995f1 | \([0, -1, 1, -55786, -7948704]\) | \(-32278933504/27421875\) | \(-16311170755546875\) | \([]\) | \(2107392\) | \(1.8085\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163995.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 163995.a do not have complex multiplication.Modular form 163995.2.a.a
sage: E.q_eigenform(10)