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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 4200.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4200.p1 | 4200be1 | \([0, 1, 0, -308, -2187]\) | \(-324179200/63\) | \(-630000\) | \([]\) | \(1344\) | \(0.11274\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4200.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4200.p do not have complex multiplication.Modular form 4200.2.a.p
sage: E.q_eigenform(10)