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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 2790.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2790.y1 | 2790bc1 | \([1, -1, 1, -1832, 34539]\) | \(-932288503609/148800000\) | \(-108475200000\) | \([]\) | \(2880\) | \(0.84558\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2790.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2790.y do not have complex multiplication.Modular form 2790.2.a.y
sage: E.q_eigenform(10)