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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 166410.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.m1 | 166410bi1 | \([1, -1, 0, -12924, -562352]\) | \(-177120578761/20480\) | \(-27605422080\) | \([]\) | \(362880\) | \(1.0301\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 166410.m do not have complex multiplication.Modular form 166410.2.a.m
sage: E.q_eigenform(10)