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SageMath
E = EllipticCurve("sr1")
E.isogeny_class()
Elliptic curves in class 176400.sr
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.sr1 | 176400gs1 | \([0, 0, 0, -4409265, -3563672245]\) | \(-805661175040/729\) | \(-8578224503074800\) | \([]\) | \(3096576\) | \(2.3556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.sr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.sr do not have complex multiplication.Modular form 176400.2.a.sr
sage: E.q_eigenform(10)