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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 309465.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309465.d1 | 309465d1 | \([0, 0, 1, -1587, -222048]\) | \(-4096/195\) | \(-21044041800795\) | \([]\) | \(1214400\) | \(1.2365\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309465.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309465.d do not have complex multiplication.Modular form 309465.2.a.d
sage: E.q_eigenform(10)