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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 272832x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272832.x1 | 272832x1 | \([0, -1, 0, -359, 2745]\) | \(-1636214272/2523\) | \(-7912128\) | \([]\) | \(60672\) | \(0.22300\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272832x1 has rank \(2\).
Complex multiplication
The elliptic curves in class 272832x do not have complex multiplication.Modular form 272832.2.a.x
sage: E.q_eigenform(10)