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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 18745.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18745.a1 | 18745a1 | \([0, 1, 1, -146, 636]\) | \(-346540109824/2155675\) | \(-2155675\) | \([]\) | \(10976\) | \(0.053575\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18745.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 18745.a do not have complex multiplication.Modular form 18745.2.a.a
sage: E.q_eigenform(10)