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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 21780.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21780.c1 | 21780k1 | \([0, 0, 0, -2456553, 1493042177]\) | \(-1161633816071508736/10089075234375\) | \(-14239155797583750000\) | \([]\) | \(685440\) | \(2.4999\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21780.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21780.c do not have complex multiplication.Modular form 21780.2.a.c
sage: E.q_eigenform(10)