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SageMath
sage: E = EllipticCurve("i1")
sage: E.isogeny_class()
Elliptic curves in class 1960.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1960.i1 | 1960h1 | \([0, 1, 0, -16, -176]\) | \(-196/5\) | \(-12293120\) | \([]\) | \(288\) | \(0.040994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1960.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1960.i do not have complex multiplication.Modular form 1960.2.a.i
sage: E.q_eigenform(10)