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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 223767m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
223767.n1 | 223767m1 | \([0, 0, 1, -58719, 2077515]\) | \(207474688/102789\) | \(11092800064932909\) | \([]\) | \(2439360\) | \(1.7718\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 223767m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 223767m do not have complex multiplication.Modular form 223767.2.a.m
sage: E.q_eigenform(10)