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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 96600.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96600.m1 | 96600a1 | \([0, -1, 0, -12083, -821088]\) | \(-1248716800/1159683\) | \(-181200468750000\) | \([]\) | \(312000\) | \(1.4324\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 96600.m do not have complex multiplication.Modular form 96600.2.a.m
sage: E.q_eigenform(10)