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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 12882.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 12882.d1 | 12882c1 | \([1, 1, 0, -304139, -65188803]\) | \(-3111302831921821954873/28165508381540352\) | \(-28165508381540352\) | \([]\) | \(162000\) | \(1.9794\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12882.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12882.d do not have complex multiplication.Modular form 12882.2.a.d
sage: E.q_eigenform(10)