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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 4400be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4400.b1 | 4400be1 | \([0, 0, 0, -5875, -668750]\) | \(-2803221/22528\) | \(-180224000000000\) | \([]\) | \(21120\) | \(1.4183\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4400be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4400be do not have complex multiplication.Modular form 4400.2.a.be
sage: E.q_eigenform(10)