Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 18150.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18150.s1 | 18150r1 | \([1, 1, 0, -2950, 56500]\) | \(12019997/864\) | \(204187500000\) | \([]\) | \(28800\) | \(0.91695\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18150.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 18150.s do not have complex multiplication.Modular form 18150.2.a.s
sage: E.q_eigenform(10)