Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 44400.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44400.e1 | 44400bn1 | \([0, -1, 0, -30208, -2041088]\) | \(-76215625/1332\) | \(-53280000000000\) | \([]\) | \(195840\) | \(1.4314\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44400.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44400.e do not have complex multiplication.Modular form 44400.2.a.e
sage: E.q_eigenform(10)