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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 254100.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254100.p1 | 254100p1 | \([0, -1, 0, -67558, -8031263]\) | \(-76995328/18711\) | \(-8286919467750000\) | \([]\) | \(1555200\) | \(1.7729\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254100.p do not have complex multiplication.Modular form 254100.2.a.p
sage: E.q_eigenform(10)