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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 102550.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.d1 | 102550e1 | \([1, 1, 0, 375, -3125]\) | \(371694959/512750\) | \(-8011718750\) | \([]\) | \(55296\) | \(0.58603\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102550.d do not have complex multiplication.Modular form 102550.2.a.d
sage: E.q_eigenform(10)