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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 333795d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333795.d1 | 333795d1 | \([0, 1, 1, -6069096, 5807138510]\) | \(-1024241283846148096/11240221174875\) | \(-271311614183806378875\) | \([]\) | \(32348160\) | \(2.7362\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333795d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333795d do not have complex multiplication.Modular form 333795.2.a.d
sage: E.q_eigenform(10)