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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1887.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1887.a1 | 1887a1 | \([1, 1, 1, -17, 20]\) | \(-545338513/5661\) | \(-5661\) | \([]\) | \(160\) | \(-0.46235\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1887.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1887.a do not have complex multiplication.Modular form 1887.2.a.a
sage: E.q_eigenform(10)