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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 1960.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1960.c1 | 1960a1 | \([0, -1, 0, 1944, -204644]\) | \(137564/3125\) | \(-18447363200000\) | \([]\) | \(3360\) | \(1.2257\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1960.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1960.c do not have complex multiplication.Modular form 1960.2.a.c
sage: E.q_eigenform(10)