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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 21780m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21780.a1 | 21780m1 | \([0, 0, 0, -5808, 182468]\) | \(-7929856/675\) | \(-1844344339200\) | \([]\) | \(34560\) | \(1.0984\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21780m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 21780m do not have complex multiplication.Modular form 21780.2.a.m
sage: E.q_eigenform(10)