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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 21294y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21294.y1 | 21294y1 | \([1, -1, 0, 846, -428]\) | \(41781923/24192\) | \(-38746221696\) | \([]\) | \(16128\) | \(0.72116\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21294y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21294y do not have complex multiplication.Modular form 21294.2.a.y
sage: E.q_eigenform(10)