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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 8820.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8820.w1 | 8820t1 | \([0, 0, 0, -3087, 129654]\) | \(-3024/5\) | \(-5379251109120\) | \([]\) | \(14112\) | \(1.1337\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8820.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8820.w do not have complex multiplication.Modular form 8820.2.a.w
sage: E.q_eigenform(10)