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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 393129.cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
393129.cl1 | 393129cl1 | \([0, 0, 1, 11913, 94311]\) | \(45056/27\) | \(-112046493162483\) | \([]\) | \(2026944\) | \(1.3851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 393129.cl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 393129.cl do not have complex multiplication.Modular form 393129.2.a.cl
sage: E.q_eigenform(10)