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SageMath
E = EllipticCurve("la1")
E.isogeny_class()
Elliptic curves in class 433200la
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
433200.la1 | 433200la1 | \([0, 1, 0, -84233, 11225763]\) | \(-8780800/2187\) | \(-16462294679520000\) | \([]\) | \(4826304\) | \(1.8296\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200la1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433200la do not have complex multiplication.Modular form 433200.2.a.la
sage: E.q_eigenform(10)