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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 66654a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66654.m1 | 66654a1 | \([1, -1, 0, 177645, -77377483]\) | \(212776173/1009792\) | \(-2942322238815007104\) | \([]\) | \(1064448\) | \(2.2261\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66654a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66654a do not have complex multiplication.Modular form 66654.2.a.a
sage: E.q_eigenform(10)