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SageMath
E = EllipticCurve("dx1")
E.isogeny_class()
Elliptic curves in class 78400.dx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.dx1 | 78400bm1 | \([0, -1, 0, -32993, 2327137]\) | \(-10303010/49\) | \(-18890099916800\) | \([]\) | \(221184\) | \(1.3970\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.dx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400.dx do not have complex multiplication.Modular form 78400.2.a.dx
sage: E.q_eigenform(10)