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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 185900t
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 185900.q1 | 185900t1 | \([0, 0, 0, -105625, -20596875]\) | \(-172800/143\) | \(-107849013593750000\) | \([]\) | \(1149120\) | \(1.9662\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185900t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185900t do not have complex multiplication.Modular form 185900.2.a.t
sage: E.q_eigenform(10)