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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 316239d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 316239.d1 | 316239d1 | \([1, 1, 1, -39045, -5445696]\) | \(-1874161/2541\) | \(-8925210292413261\) | \([]\) | \(1427904\) | \(1.7533\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 316239d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 316239d do not have complex multiplication.Modular form 316239.2.a.d
sage: E.q_eigenform(10)