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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 76440o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 76440.bl1 | 76440o1 | \([0, -1, 0, -6435, 200880]\) | \(-767228471296/142155\) | \(-5461026480\) | \([]\) | \(79296\) | \(0.87079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76440o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76440o do not have complex multiplication.Modular form 76440.2.a.o
sage: E.q_eigenform(10)