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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 106722.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106722.y1 | 106722g1 | \([1, -1, 0, -303, -4691]\) | \(-392931/1024\) | \(-8032324608\) | \([]\) | \(63360\) | \(0.58819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106722.y1 has rank \(2\).
Complex multiplication
The elliptic curves in class 106722.y do not have complex multiplication.Modular form 106722.2.a.y
sage: E.q_eigenform(10)