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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 150075.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.r1 | 150075q1 | \([0, 0, 1, -293700, -43676969]\) | \(245973316796416/69995230125\) | \(797289418142578125\) | \([]\) | \(1290240\) | \(2.1417\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 150075.r do not have complex multiplication.Modular form 150075.2.a.r
sage: E.q_eigenform(10)