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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 450800.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.r1 | 450800r1 | \([0, 1, 0, -9333, -379037]\) | \(-229376/23\) | \(-9016000000000\) | \([]\) | \(950400\) | \(1.2260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450800.r do not have complex multiplication.Modular form 450800.2.a.r
sage: E.q_eigenform(10)