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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 393129d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
393129.d1 | 393129d1 | \([0, 0, 1, 12449085, 823921942]\) | \(512000/297\) | \(-123772025224563489432747\) | \([]\) | \(56908800\) | \(3.1205\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 393129d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 393129d do not have complex multiplication.Modular form 393129.2.a.d
sage: E.q_eigenform(10)