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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 24546f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24546.e1 | 24546f1 | \([1, 1, 1, 19, 227]\) | \(756058031/21207744\) | \(-21207744\) | \([]\) | \(4800\) | \(0.085910\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24546f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 24546f do not have complex multiplication.Modular form 24546.2.a.f
sage: E.q_eigenform(10)