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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 207214.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
207214.m1 | 207214z1 | \([1, 0, 1, -936442, 164263468]\) | \(1930385697873697/869118509056\) | \(40888445951945998336\) | \([]\) | \(5299200\) | \(2.4584\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207214.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 207214.m do not have complex multiplication.Modular form 207214.2.a.m
sage: E.q_eigenform(10)