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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 96192r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96192.d1 | 96192r1 | \([0, 0, 0, 276, -8944]\) | \(97336/1503\) | \(-35903471616\) | \([]\) | \(61440\) | \(0.70595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96192r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 96192r do not have complex multiplication.Modular form 96192.2.a.r
sage: E.q_eigenform(10)