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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 150075.be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 150075.be1 | 150075w1 | \([0, 0, 1, -23446741800, -456647675216594]\) | \(125147927114815865709295304704/64514985611316331088611125\) | \(734866007978900083806211095703125\) | \([]\) | \(410941440\) | \(4.9986\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 150075.be do not have complex multiplication.Modular form 150075.2.a.be
sage: E.q_eigenform(10)