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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 350727.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350727.m1 | 350727m1 | \([0, -1, 1, 46376, 2995761]\) | \(74512166912/69581187\) | \(-10300512875220243\) | \([]\) | \(4055040\) | \(1.7598\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350727.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350727.m do not have complex multiplication.Modular form 350727.2.a.m
sage: E.q_eigenform(10)