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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 2366.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2366.m1 | 2366o1 | \([1, 0, 0, -778840, 264955456]\) | \(-10824513276632329/21926008832\) | \(-105832656764377088\) | \([]\) | \(51744\) | \(2.1536\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2366.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2366.m do not have complex multiplication.Modular form 2366.2.a.m
sage: E.q_eigenform(10)