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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 75150x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.w1 | 75150x1 | \([1, -1, 0, -2727, 380781]\) | \(-24616775429/670674672\) | \(-61115229486000\) | \([]\) | \(374784\) | \(1.3259\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150x1 has rank \(2\).
Complex multiplication
The elliptic curves in class 75150x do not have complex multiplication.Modular form 75150.2.a.x
sage: E.q_eigenform(10)