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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 302016w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302016.w1 | 302016w1 | \([0, -1, 0, 3711, 3077505]\) | \(1472207/1067742\) | \(-4098047507693568\) | \([]\) | \(1244160\) | \(1.6748\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302016w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302016w do not have complex multiplication.Modular form 302016.2.a.w
sage: E.q_eigenform(10)