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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 85176.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85176.w1 | 85176ca1 | \([0, 0, 0, -103428, 13999284]\) | \(-135834624/15379\) | \(-13853378636907264\) | \([]\) | \(516096\) | \(1.8342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85176.w do not have complex multiplication.Modular form 85176.2.a.w
sage: E.q_eigenform(10)