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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 26901.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26901.q1 | 26901v1 | \([1, -1, 0, -891, 11038]\) | \(-912673/61\) | \(-5231733381\) | \([]\) | \(18144\) | \(0.61680\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26901.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26901.q do not have complex multiplication.Modular form 26901.2.a.q
sage: E.q_eigenform(10)