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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 32276b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32276.a1 | 32276b1 | \([0, 1, 0, -17, 16]\) | \(35995648/8069\) | \(129104\) | \([]\) | \(5136\) | \(-0.30630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32276b1 has rank \(3\).
Complex multiplication
The elliptic curves in class 32276b do not have complex multiplication.Modular form 32276.2.a.b
sage: E.q_eigenform(10)