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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 179776w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179776.i1 | 179776w1 | \([0, -1, 0, 10300, 106846]\) | \(85184/53\) | \(-75181512949568\) | \([]\) | \(718848\) | \(1.3517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179776w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179776w do not have complex multiplication.Modular form 179776.2.a.w
sage: E.q_eigenform(10)