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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 422331.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.y1 | 422331y1 | \([1, 0, 0, -4313, 114204]\) | \(-129390625/7803\) | \(-535090420683\) | \([]\) | \(563328\) | \(1.0056\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331.y do not have complex multiplication.Modular form 422331.2.a.y
sage: E.q_eigenform(10)