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SageMath
E = EllipticCurve("dp1")
E.isogeny_class()
Elliptic curves in class 162624.dp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162624.dp1 | 162624dv1 | \([0, -1, 0, 23071, 7445121]\) | \(24167/441\) | \(-24781066474881024\) | \([]\) | \(1622016\) | \(1.8262\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624.dp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162624.dp do not have complex multiplication.Modular form 162624.2.a.dp
sage: E.q_eigenform(10)