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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 26640bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26640.bj1 | 26640bn1 | \([0, 0, 0, 213, -4646]\) | \(357911/3330\) | \(-9943326720\) | \([]\) | \(15360\) | \(0.59957\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26640bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26640bn do not have complex multiplication.Modular form 26640.2.a.bn
sage: E.q_eigenform(10)