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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 23184m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 23184.q1 | 23184m1 | \([0, 0, 0, -75771, 8145009]\) | \(-4124632486295808/70140333767\) | \(-818116853058288\) | \([]\) | \(75264\) | \(1.6600\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23184m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23184m do not have complex multiplication.Modular form 23184.2.a.m
sage: E.q_eigenform(10)