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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 114950.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
114950.c1 | 114950bg1 | \([1, -1, 0, -1117, -14459]\) | \(-81563625/2432\) | \(-4598000000\) | \([]\) | \(217728\) | \(0.63233\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 114950.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 114950.c do not have complex multiplication.Modular form 114950.2.a.c
sage: E.q_eigenform(10)