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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 308550r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308550.r1 | 308550r1 | \([1, 1, 0, -1937575, 1216787125]\) | \(-1921445669/417792\) | \(-174916846896000000000\) | \([]\) | \(18670080\) | \(2.6051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308550r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 308550r do not have complex multiplication.Modular form 308550.2.a.r
sage: E.q_eigenform(10)