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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 150075be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.x1 | 150075be1 | \([0, 0, 1, -2970, -62269]\) | \(1177583616/667\) | \(1641070125\) | \([]\) | \(74496\) | \(0.71487\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150075be do not have complex multiplication.Modular form 150075.2.a.be
sage: E.q_eigenform(10)