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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 111012.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111012.d1 | 111012d1 | \([0, -1, 0, -260149, -78395279]\) | \(-15204352/11979\) | \(-1534067655900113664\) | \([]\) | \(2129760\) | \(2.1881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111012.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 111012.d do not have complex multiplication.Modular form 111012.2.a.d
sage: E.q_eigenform(10)