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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 79350bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.bd1 | 79350bm1 | \([1, 0, 1, -281203451, -1808405814202]\) | \(139808984375/589824\) | \(10374639330026880000000000\) | \([]\) | \(29675520\) | \(3.6545\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79350bm do not have complex multiplication.Modular form 79350.2.a.bm
sage: E.q_eigenform(10)