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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 12480.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12480.c1 | 12480d1 | \([0, -1, 0, 1169, 2881]\) | \(2758136205824/1668346875\) | \(-106774200000\) | \([]\) | \(9600\) | \(0.80540\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12480.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12480.c do not have complex multiplication.Modular form 12480.2.a.c
sage: E.q_eigenform(10)