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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 94192r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94192.n1 | 94192r1 | \([0, -1, 0, -512, -8192]\) | \(-4317433/6272\) | \(-21605384192\) | \([]\) | \(40320\) | \(0.67500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94192r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94192r do not have complex multiplication.Modular form 94192.2.a.r
sage: E.q_eigenform(10)