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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 44400.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44400.a1 | 44400bp1 | \([0, -1, 0, -373, -2663]\) | \(-899153920/4107\) | \(-26284800\) | \([]\) | \(19584\) | \(0.27496\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44400.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44400.a do not have complex multiplication.Modular form 44400.2.a.a
sage: E.q_eigenform(10)