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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 111573.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111573.d1 | 111573z1 | \([0, 0, 1, 160377, -2074550]\) | \(5319051554816/3099832659\) | \(-265860622911545739\) | \([]\) | \(1843200\) | \(2.0329\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111573.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111573.d do not have complex multiplication.Modular form 111573.2.a.d
sage: E.q_eigenform(10)