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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 22848.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22848.y1 | 22848k1 | \([0, -1, 0, -1825, -35231]\) | \(-20525811272/5055477\) | \(-165657870336\) | \([]\) | \(20736\) | \(0.87095\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22848.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22848.y do not have complex multiplication.Modular form 22848.2.a.y
sage: E.q_eigenform(10)