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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 10350f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10350.o1 | 10350f1 | \([1, -1, 0, 633, 27791]\) | \(3645/46\) | \(-353678906250\) | \([]\) | \(11520\) | \(0.89680\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10350f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10350f do not have complex multiplication.Modular form 10350.2.a.f
sage: E.q_eigenform(10)