Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 216384.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.c1 | 216384cj1 | \([0, -1, 0, 14635, 692301]\) | \(524288/621\) | \(-410576321691648\) | \([]\) | \(903168\) | \(1.4903\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 216384.c do not have complex multiplication.Modular form 216384.2.a.c
sage: E.q_eigenform(10)