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SageMath
E = EllipticCurve("el1")
E.isogeny_class()
Elliptic curves in class 121968el
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121968.w1 | 121968el1 | \([0, 0, 0, 7817469, 20758099714]\) | \(146234339790153527/599838494072832\) | \(-216724085652154113589248\) | \([]\) | \(12579840\) | \(3.1604\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121968el1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121968el do not have complex multiplication.Modular form 121968.2.a.el
sage: E.q_eigenform(10)