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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 44400.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44400.l1 | 44400bt1 | \([0, -1, 0, -2332208, 1372542912]\) | \(-175362106452317/131292576\) | \(-1050340608000000000\) | \([]\) | \(691200\) | \(2.3912\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44400.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44400.l do not have complex multiplication.Modular form 44400.2.a.l
sage: E.q_eigenform(10)