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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 20181.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20181.c1 | 20181o1 | \([0, 1, 1, -134, 728]\) | \(-278966272/107163\) | \(-102983643\) | \([]\) | \(10080\) | \(0.24699\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20181.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 20181.c do not have complex multiplication.Modular form 20181.2.a.c
sage: E.q_eigenform(10)