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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 160048a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160048.a1 | 160048a1 | \([0, 1, 0, 832, -11660]\) | \(15531437375/24017203\) | \(-98374463488\) | \([]\) | \(125440\) | \(0.79463\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160048a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 160048a do not have complex multiplication.Modular form 160048.2.a.a
sage: E.q_eigenform(10)