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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 43245.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43245.f1 | 43245i1 | \([0, 0, 1, -11532, 677745]\) | \(-262144/155\) | \(-100283478434595\) | \([]\) | \(115200\) | \(1.3891\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43245.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43245.f do not have complex multiplication.Modular form 43245.2.a.f
sage: E.q_eigenform(10)