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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 43681a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43681.l1 | 43681a1 | \([1, -1, 0, -248, -1303]\) | \(9747\) | \(173457251\) | \([]\) | \(12960\) | \(0.31651\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43681a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43681a do not have complex multiplication.Modular form 43681.2.a.a
sage: E.q_eigenform(10)