Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 254100c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254100.c1 | 254100c1 | \([0, -1, 0, 5042, 1261537]\) | \(1280/63\) | \(-697552143750000\) | \([]\) | \(1029600\) | \(1.5280\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254100c do not have complex multiplication.Modular form 254100.2.a.c
sage: E.q_eigenform(10)