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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 26026.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26026.b1 | 26026f1 | \([1, -1, 0, 51767, 3734797]\) | \(111287007/108416\) | \(-14946066252301184\) | \([]\) | \(471744\) | \(1.7906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26026.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26026.b do not have complex multiplication.Modular form 26026.2.a.b
sage: E.q_eigenform(10)