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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 20339b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20339.b1 | 20339b1 | \([1, 0, 0, -17, -16]\) | \(294937/121\) | \(223729\) | \([]\) | \(1680\) | \(-0.27597\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20339b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 20339b do not have complex multiplication.Modular form 20339.2.a.b
sage: E.q_eigenform(10)