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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 174363b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 174363.b1 | 174363b1 | \([0, -1, 1, -34776, 2924444]\) | \(-98867482624/20696067\) | \(-973664705250027\) | \([]\) | \(2025000\) | \(1.5977\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 174363b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 174363b do not have complex multiplication.Modular form 174363.2.a.b
sage: E.q_eigenform(10)