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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 5400.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5400.f1 | 5400e1 | \([0, 0, 0, -16875, 2193750]\) | \(-300\) | \(-1771470000000000\) | \([]\) | \(30240\) | \(1.6121\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5400.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5400.f do not have complex multiplication.Modular form 5400.2.a.f
sage: E.q_eigenform(10)