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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 121968.cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121968.cl1 | 121968fs1 | \([0, 0, 0, -56105643, -162147405926]\) | \(-30515071121161/85766121\) | \(-54896508803982410256384\) | \([]\) | \(14598144\) | \(3.2356\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121968.cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121968.cl do not have complex multiplication.Modular form 121968.2.a.cl
sage: E.q_eigenform(10)