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SageMath
E = EllipticCurve("dp1")
E.isogeny_class()
Elliptic curves in class 254898.dp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254898.dp1 | 254898dp1 | \([1, -1, 0, 36065412, 99965200432]\) | \(30004847/42336\) | \(-7320062761854370728296544\) | \([]\) | \(56401920\) | \(3.4567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254898.dp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254898.dp do not have complex multiplication.Modular form 254898.2.a.dp
sage: E.q_eigenform(10)