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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 10766d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10766.a1 | 10766d1 | \([1, -1, 0, -19, -11]\) | \(781229961/344512\) | \(344512\) | \([]\) | \(4512\) | \(-0.24173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10766d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 10766d do not have complex multiplication.Modular form 10766.2.a.d
sage: E.q_eigenform(10)