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SageMath
E = EllipticCurve("ef1")
E.isogeny_class()
Elliptic curves in class 91728.ef
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91728.ef1 | 91728ff1 | \([0, 0, 0, -53067, 5407738]\) | \(-47045881/8736\) | \(-3068939604197376\) | \([]\) | \(368640\) | \(1.6962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91728.ef1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91728.ef do not have complex multiplication.Modular form 91728.2.a.ef
sage: E.q_eigenform(10)