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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 112710.dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.dd1 | 112710da1 | \([1, 0, 0, -23245, -1391215]\) | \(-4806353270849329/103667466240\) | \(-29959897743360\) | \([]\) | \(483840\) | \(1.3757\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710.dd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710.dd do not have complex multiplication.Modular form 112710.2.a.dd
sage: E.q_eigenform(10)