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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 14960.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14960.f1 | 14960q1 | \([0, -1, 0, 80, 320]\) | \(13651919/20570\) | \(-84254720\) | \([]\) | \(3072\) | \(0.20616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14960.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14960.f do not have complex multiplication.Modular form 14960.2.a.f
sage: E.q_eigenform(10)