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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 23184.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23184.d1 | 23184bv1 | \([0, 0, 0, -13872, -733840]\) | \(-98867482624/20696067\) | \(-61798124924928\) | \([]\) | \(96000\) | \(1.3680\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23184.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23184.d do not have complex multiplication.Modular form 23184.2.a.d
sage: E.q_eigenform(10)