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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 61710.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61710.d1 | 61710d1 | \([1, 1, 0, -10408, -17652092]\) | \(-70393838689/75905555220\) | \(-134471321311098420\) | \([]\) | \(672000\) | \(1.9657\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61710.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 61710.d do not have complex multiplication.Modular form 61710.2.a.d
sage: E.q_eigenform(10)