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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 388416p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388416.p1 | 388416p1 | \([0, -1, 0, -48937, -4870121]\) | \(-8390176768/1821771\) | \(-2814279885740736\) | \([]\) | \(2580480\) | \(1.6854\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388416p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388416p do not have complex multiplication.Modular form 388416.2.a.p
sage: E.q_eigenform(10)