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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 143745b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 143745.d1 | 143745b1 | \([0, 1, 1, -5380986380, -134530186634716]\) | \(4905639137782211792896/613051446533203125\) | \(2153330610144424441094970703125\) | \([]\) | \(389370240\) | \(4.5500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 143745b do not have complex multiplication.Modular form 143745.2.a.b
sage: E.q_eigenform(10)