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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 443822d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 443822.d1 | 443822d1 | \([1, 1, 0, -13396179, -18877465811]\) | \(11995307098244497/137199616\) | \(3040941835784126464\) | \([]\) | \(25272000\) | \(2.6984\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443822d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 443822d do not have complex multiplication.Modular form 443822.2.a.d
sage: E.q_eigenform(10)