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SageMath
E = EllipticCurve("ed1")
E.isogeny_class()
Elliptic curves in class 185130ed
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185130.l1 | 185130ed1 | \([1, -1, 0, 225, 1381]\) | \(14245319/18360\) | \(-1619517240\) | \([]\) | \(124416\) | \(0.45305\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185130ed1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185130ed do not have complex multiplication.Modular form 185130.2.a.ed
sage: E.q_eigenform(10)