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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 7098.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7098.y1 | 7098bf1 | \([1, 0, 0, -46381, 4157009]\) | \(-5022437771811277/497757560832\) | \(-1093573361147904\) | \([]\) | \(41184\) | \(1.6262\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7098.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7098.y do not have complex multiplication.Modular form 7098.2.a.y
sage: E.q_eigenform(10)