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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 334620c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 334620.c1 | 334620c1 | \([0, 0, 0, -7797153, 14476342777]\) | \(-32602495744/37434375\) | \(-60193780552166782950000\) | \([]\) | \(39536640\) | \(3.0652\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620c do not have complex multiplication.Modular form 334620.2.a.c
sage: E.q_eigenform(10)