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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 272832.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272832.r1 | 272832r1 | \([0, -1, 0, 10911, 494145]\) | \(37259704/49329\) | \(-190169334448128\) | \([]\) | \(675840\) | \(1.4257\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272832.r1 has rank \(2\).
Complex multiplication
The elliptic curves in class 272832.r do not have complex multiplication.Modular form 272832.2.a.r
sage: E.q_eigenform(10)