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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 49005.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
49005.m1 | 49005d1 | \([0, 0, 1, -363, 2329]\) | \(36864/5\) | \(717482205\) | \([]\) | \(28560\) | \(0.42645\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 49005.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 49005.m do not have complex multiplication.Modular form 49005.2.a.m
sage: E.q_eigenform(10)