Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 38808.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.c1 | 38808cr1 | \([0, 0, 0, -2621892, 1720700660]\) | \(-37811178496/2381643\) | \(-125552266342923264768\) | \([]\) | \(2225664\) | \(2.6104\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38808.c do not have complex multiplication.Modular form 38808.2.a.c
sage: E.q_eigenform(10)