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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 283220b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283220.b1 | 283220b1 | \([0, 0, 0, -2023, 68782]\) | \(-3024/5\) | \(-1513908327680\) | \([]\) | \(737280\) | \(1.0280\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283220b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 283220b do not have complex multiplication.Modular form 283220.2.a.b
sage: E.q_eigenform(10)