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SageMath
E = EllipticCurve("lu1")
E.isogeny_class()
Elliptic curves in class 352800.lu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
352800.lu1 | 352800lu1 | \([0, 0, 0, -822675, -287208250]\) | \(-215474070728/3645\) | \(-1041624360000000\) | \([]\) | \(2433024\) | \(2.0117\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800.lu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 352800.lu do not have complex multiplication.Modular form 352800.2.a.lu
sage: E.q_eigenform(10)