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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 93025.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93025.d1 | 93025a1 | \([1, 1, 1, -187988, 33055906]\) | \(-912673/61\) | \(-49105356812828125\) | \([]\) | \(803520\) | \(1.9547\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93025.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93025.d do not have complex multiplication.Modular form 93025.2.a.d
sage: E.q_eigenform(10)