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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 425880c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 425880.c1 | 425880c1 | \([0, 0, 0, -2985723, -1993614922]\) | \(-65257693254/300125\) | \(-13537632115268352000\) | \([]\) | \(11261952\) | \(2.5220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 425880c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 425880c do not have complex multiplication.Modular form 425880.2.a.c
sage: E.q_eigenform(10)