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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 185900p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 185900.v1 | 185900p1 | \([0, 0, 0, 5724875, -2591086875]\) | \(687830780160/494190983\) | \(-14908534277895293750000\) | \([]\) | \(9979200\) | \(2.9431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185900p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185900p do not have complex multiplication.Modular form 185900.2.a.p
sage: E.q_eigenform(10)