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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 23104d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23104.n1 | 23104d1 | \([0, -1, 0, -612737, 184816009]\) | \(1462911232\) | \(17391168553984\) | \([]\) | \(153216\) | \(1.8556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23104d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23104d do not have complex multiplication.Modular form 23104.2.a.d
sage: E.q_eigenform(10)