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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 16744c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16744.a1 | 16744c1 | \([0, 0, 0, 212, -236]\) | \(4116151296/2476019\) | \(-633860864\) | \([]\) | \(10368\) | \(0.37821\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16744c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 16744c do not have complex multiplication.Modular form 16744.2.a.c
sage: E.q_eigenform(10)