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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 17787.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.v1 | 17787n1 | \([1, 0, 1, -19091504, 32183918435]\) | \(-30515071121161/85766121\) | \(-2162945067448360937049\) | \([]\) | \(1368576\) | \(2.9661\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17787.v do not have complex multiplication.Modular form 17787.2.a.v
sage: E.q_eigenform(10)