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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 71148.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.be1 | 71148ba1 | \([0, -1, 0, -132414, 22143717]\) | \(-76995328/18711\) | \(-62396658461524464\) | \([]\) | \(691200\) | \(1.9412\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71148.be do not have complex multiplication.Modular form 71148.2.a.be
sage: E.q_eigenform(10)