Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 397800.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.c1 | 397800c1 | \([0, 0, 0, 23625, -42373125]\) | \(11854080/6311981\) | \(-776492012643750000\) | \([]\) | \(5990400\) | \(2.1119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 397800.c do not have complex multiplication.Modular form 397800.2.a.c
sage: E.q_eigenform(10)