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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 44409.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44409.a1 | 44409b1 | \([1, 1, 1, -45, 96]\) | \(10091699281/133227\) | \(133227\) | \([]\) | \(9088\) | \(-0.20924\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44409.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 44409.a do not have complex multiplication.Modular form 44409.2.a.a
sage: E.q_eigenform(10)