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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 350658.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.f1 | 350658f1 | \([1, -1, 0, 644071059, 11886402117541]\) | \(22879231194490519393943/60502362714028376064\) | \(-78136863493987554643742294016\) | \([]\) | \(381542400\) | \(4.2277\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658.f do not have complex multiplication.Modular form 350658.2.a.f
sage: E.q_eigenform(10)