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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 26775bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26775.ba1 | 26775bm1 | \([0, 0, 1, -7950, -403344]\) | \(-4878401536/3346875\) | \(-38122998046875\) | \([]\) | \(46080\) | \(1.3064\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26775bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26775bm do not have complex multiplication.Modular form 26775.2.a.bm
sage: E.q_eigenform(10)