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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 103056r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103056.l1 | 103056r1 | \([0, -1, 0, -14725, 1298413]\) | \(-86210302283776/126575253531\) | \(-518452238462976\) | \([]\) | \(302400\) | \(1.5154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103056r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103056r do not have complex multiplication.Modular form 103056.2.a.r
sage: E.q_eigenform(10)