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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 77616dg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77616.fc1 | 77616dg1 | \([0, 0, 0, -21270459, 37768253418]\) | \(-34068278205171/10307264\) | \(-321993801943186931712\) | \([]\) | \(3386880\) | \(2.9127\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616dg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77616dg do not have complex multiplication.Modular form 77616.2.a.dg
sage: E.q_eigenform(10)