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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 445280.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
445280.be1 | 445280be1 | \([0, 1, 0, -448136, 118994060]\) | \(-14605154817835672/546564453125\) | \(-372468371000000000\) | \([]\) | \(4727808\) | \(2.1421\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 445280.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 445280.be do not have complex multiplication.Modular form 445280.2.a.be
sage: E.q_eigenform(10)