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SageMath
E = EllipticCurve("gb1")
E.isogeny_class()
Elliptic curves in class 303450gb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 303450.gb1 | 303450gb1 | \([1, 0, 0, -45485138, -118159674108]\) | \(-1103770289367265/891813888\) | \(-8408679397171200000000\) | \([]\) | \(50160000\) | \(3.1366\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450gb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450gb do not have complex multiplication.Modular form 303450.2.a.gb
sage: E.q_eigenform(10)