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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1141.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1141.a1 | 1141a1 | \([1, 0, 0, -27, 94]\) | \(-2181825073/2739541\) | \(-2739541\) | \([]\) | \(280\) | \(-0.071379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1141.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1141.a do not have complex multiplication.Modular form 1141.2.a.a
sage: E.q_eigenform(10)