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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 1176.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1176.d1 | 1176a1 | \([0, -1, 0, -457, -10163]\) | \(-7168/27\) | \(-39846304512\) | \([]\) | \(1008\) | \(0.71965\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1176.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1176.d do not have complex multiplication.Modular form 1176.2.a.d
sage: E.q_eigenform(10)