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SageMath
E = EllipticCurve("rn1")
E.isogeny_class()
Elliptic curves in class 235200.rn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.rn1 | 235200rn1 | \([0, 1, 0, -17916033, 29182896063]\) | \(-215474070728/3645\) | \(-10758502218240000000\) | \([]\) | \(8515584\) | \(2.7819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.rn1 has rank \(2\).
Complex multiplication
The elliptic curves in class 235200.rn do not have complex multiplication.Modular form 235200.2.a.rn
sage: E.q_eigenform(10)