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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 458640m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
458640.m1 | 458640m1 | \([0, 0, 0, -7203, 1050658]\) | \(-5764801/63180\) | \(-452959380357120\) | \([]\) | \(1751040\) | \(1.4943\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 458640m do not have complex multiplication.Modular form 458640.2.a.m
sage: E.q_eigenform(10)