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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 309168p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.p1 | 309168p1 | \([0, 0, 0, 384, 73136]\) | \(2097152/775067\) | \(-2314337660928\) | \([]\) | \(427680\) | \(1.0516\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 309168p do not have complex multiplication.Modular form 309168.2.a.p
sage: E.q_eigenform(10)