Show commands:
SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 19950.ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19950.ct1 | 19950db1 | \([1, 0, 0, -8232713, -21095905383]\) | \(-98735339854432038328225/250451215107692352768\) | \(-156532009442307720480000\) | \([]\) | \(2096640\) | \(3.1384\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19950.ct1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19950.ct do not have complex multiplication.Modular form 19950.2.a.ct
sage: E.q_eigenform(10)