Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 4200.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4200.v1 | 4200bd1 | \([0, 1, 0, 4941792, 7363325088]\) | \(16683494528422270/38919722282469\) | \(-31135777825975200000000\) | \([]\) | \(332640\) | \(3.0001\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4200.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4200.v do not have complex multiplication.Modular form 4200.2.a.v
sage: E.q_eigenform(10)